The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees, therefore the correct answer is option A.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given in the If a satellite in orbit around Earth is in a uniform circular motion then we have to find the angle between the velocity vector and acceleration vector.
In a uniform circular motion, the angle between the velocity vector and acceleration vector is always π/2.
The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees.
Thus, the correct answer is option A.
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a hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. after 1.40 s, the first player makes up his mind to chase his opponent. if he accelerates uniformly at 0.22 m/s2, determine each of the following.
By using uniform motion, in 19.49 second the player will catch his opponent
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
v = 2 m/s
t = 1.4 s
vo = 0 m/s
a = 0.22 m/s²
Find the distance between players
so = v . t
so = 2 . 1.4
so = 2.8 m
The player will catch his opponent with the same distance, hence
S = S
so + v . tchase = vo . tchase + 1/2 . a . tchase²
2.8 + 2.tchase = 0 . tchase + 1/2 . 0.22 . tchase²
0.11 tchase² - 2 tchase - 2.8 = 0
a = 0.11
b = -2
c = -2.8
the square root is
x1 = (-b + √(b² - 4ac) ) / 2a
x1 = (-(-2) + √((-2)² - 4 . 0.11 . (-2.8)) ) / (2 . 0.11)
x1 = 19.49 second
x2 = (-b - √(b² - 4ac) ) / 2a
x2 = (-(-2) - √((-2)² - 4 . 0.11 . (-2.8)) ) / (2 . 0.11)
x2 = -1.31 second
the possible root is 19.49 second
Hence, in 19.49 second the player will catch his opponent
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Will the plastic insulation on the electrical wire decrease the heat transfer from the wire?
Plastic insulation does not necessarily decrease the heat transfer from the wire. Although it is insulated to keep it safe, shock free and protect the wire from high temperature.
Plastic is a poor conductor of heat. The reason is it does not have free electrons in its conduction band which makes it a perfect conductor.
Since Plastic is good insulator, they do not allow the flow of heat through them. When an electric wire is insulated with plastic it does not let the heat reach the electric wire.
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The plastic insulation on the electrical wire will not decrease the heat transfer from the wire.
Plastic insulation cannot always reduce heat transmission from the wire. Despite the fact that it is protected to make it safe, shock-free, and to shield the wire from extreme temperatures.
Plastic is a bad heat conductor. The reason for this is that it has no flow of electrons inside its conduction band, making it an excellent conductor.
Because plastic is a poor insulator, it does not enable heat to pass through it. Whenever an electric wire is protected with plastic, it prevents heat from reaching the wire.
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2.43 calculate the equivalent resistance rab at terminals a-b for each of the circuits in fig. 2.107
The equivalent resistance rab at terminals a through b for each circuit is Rab=16 ohm.
Parallel resistors of 10 and 40 ohms are used. Their comparable resistance is, thus,
(10x40)/(10+40)=400/50=8 ohm
Also,
Parallel resistors of 5 and 20 ohms are used. Their comparable resistance is, thus,
(5×20)/(5+20)=100/25=4 ohm
Since the two comparable resistors mentioned above are connected in series, the overall equivalent resistance is [tex]R_{ab}[/tex]=4+8=12 ohm
Circuit (b)
Parallel resistors of 30, 20, and 60 ohms are used. Their corresponding resistance is provided by
[tex]\frac{1}{R}=\frac{1}{30}+\frac{1}{20}+\frac{1}{60}=\frac{1}{10}[/tex]
Hence, equivalent resistance here is=10 ohms.
The specified 10 ohm resistance is now in series with this corresponding 10 ohm resistance.
As a result, the total equivalent resistance is 10+10=20 ohms.
Now, this 80 ohm resistance and its counterpart 20 ohm resistance are connected in parallel.
So, their equivalent resistance is
(80×20)/(80+20)=1600/100=16 ohm
Hence, Rab=16 ohm.
What is equivalent resistance?Equivalent resistance is the term used to describe how good a workout feels when you compare it to another person of the same fitness level. This metric can be helpful in deciding whether or not someone is working at their maximum potential. In order to calculate equivalent resistance, you will need your maximal lift and the lift of a similar-level exerciser. Then, divide each lifter's total by the other lifter’s total to get an estimate of how many pounds they are lifting relative to their own strength level.To learn more about equivalent resistance, visit:
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Bob used a force of 10N to pull a 50 kg trunk a distance of 5 m in 2 seconds. bob's power is
Answer:
25
Explanation:
a = 18t + 10 m/s2
a baseball is thrown vertically upwards into the air (neglect air resistance) and returns to the starting point. true the initial speed and final speed are equal. true the initial velocity and final velocity are equal false the average speed is zero. true the average acceleration is zero. true the total displacement is zero. true the average velocity is zero.
When the baseball is thrown vertically upwards into the air and returns to the starting point,
The average acceleration is not zero
The Initial and final speed are equal
The initial and final velocities are equal
The average speed is not zero
The total displacement is zero
The average velocity is zero.
Define speed vs VelocitySpeed is the temporal speed at which an object moves along a path while velocity is the speed and direction of movement of an object. The mathematical calculation of speed is relatively simple, calculating the average speed of an object by dividing the distance traveled by the time it takes the object to travel the distance. Velocity, on the other hand, is mathematically more complicated and can be calculated in different ways, depending on the available information about the movement of the object. In its simplest form, the average velocity is calculated by dividing the change in position by the change over time.
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Why has atomic theory not been discarded
Answer: Is the atomic theory still valid today?
Although two centuries old, Dalton's atomic theory remains valid in modern chemical thought. 1) All matter is made of atoms. Atoms are indivisible and indestructible. 3) Compounds are formed by a combination of two or more different kinds of atoms.
Explanation: hope this helps!!!
If a force of 21n stretches a spring 0.3m beyond its natural length, how much work does it take to stretch the spring 4.5m beyond its natural length?
It requires 708.75 J of labor to extend the spring 4.5m beyond its normal length if a force of 21n stretches it by 0.3m.
We know that
F = k × x
We are given
F = 21 N
x = 0.3
21 = k × 0.3
k = 70 N/m
Work = [tex]\int\limits^4_0 {70x} \, dx[/tex]
[tex]= 70 \frac{x^{1+1} }{1+1}[/tex]
[tex]=35x^{2}[/tex]
When we plug in boundaries, we get,
= 708.75 - 0
Work = 708.75 J
The spring's duration with none linked mass is its natural length. We assume the spring abides through Hooke's rule, which states that if the spring's natural duration is expanded by means of an quantity L, it's going to exert a force Fs = kΔL, wherein ok is a wonderful fee referred to as the spring consistent.
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in SI, ___ are use with the names of the base unit to indicate the multiple of 10 that is being used with the base unit
In SI, prefixes are used with the names of the base unit to indicate the multiple of 10 that is being used with the base unit
Base units are units used for various measurements such as length, time, mass, temperature etc. For example the SI base unit of length is meter, SI base unit of time is second, SI base unit of mass is gram and SI base unit of temperature is kelvin.
Prefixes such as kilo, mega, giga, deci, centi, milli, micro, nano etc are used with base units mentioned above to indicate multiples and submultiples of 10. The multiples of 10 are used to mention larger measurements and the submultiples of 10 are used to mention smaller measurements. For example, the total unit will be called as millimeter, kilo seconds etc.
Therefore, in SI, prefixes are used with the names of the base unit to indicate the multiple of 10 that is being used with the base unit.
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21 What happens to the molecules of a gas when the gas changes into a liquid?
A They move closer and lose energy.
B They move closer and gain energy.
с They move apart and lose energy.
D They move apart and gain energy.
by what percentage do the transferred electrons change the mass of the penny? (express your result as a positive percentage for an increase, negative for a decrease.)
The mass of the coin will decrease after the electrons are transferred and it will decrease by a percentage of -
[- (n x 9.1 x 10⁻³¹) / m] x 100
We have a Penny (Coin) from which some electrons are transferred
We have to determine by what percentage do the transferred electrons change the mass of the penny.
What is Charge?The sufficiency or deficiency of electrons leads to the development of charge.
According to the question -
Assume the mass of penny when no electrons are transferred is m kg.
Now, suppose you rubbed the coin against your hand and the coin lost some of its electrons. Let this number be n. Now, the mass of electron is 9.1 × [tex]10^{-31}[/tex] kilograms.
The total mass in kilograms lost will be -
(n x 9.1 × 10⁻³¹) Kg
Therefore - the total mass of coin after loosing electrons will be →
m - (n x 9.1 × 10⁻³¹ ) Kg
There will be decrease in the mass of the penny. The amount of decrease in mass will be → final mass - initial mass =
m - (n x 9.1 × [tex]10^{-31}[/tex]) - m = - (n x 9.1 × [tex]10^{-31}[/tex]).
This negative sign indicates that the mass has decreased.
Hence, the mass of the coin after transferring the electrons will decrease and it will decrease by percentage of →
[- (n x 9.1 x 10⁻³¹)/m] x 100
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Please do this right and graph corectly
some options for you :) hope this helps!
For which of these scenarios is total internal reflection possible? list all correct answers in alphabetical order. for example, if scenarios a and e are correct, enter ae.
The sequence is E,B,F,C. for the scenarios total internal reflection possible .
What is total internal reflection?
Total internal reflection is an optical phenomena when waves arriving at the interface between two media entirely reflect back into the first medium instead of being refracted into the second. total internal reflection, in physics, is defined as complete reflection of a ray of light within a medium like as water or glass from the surrounding surface's back into the medium. The phenomenon occurs if the angle of incidence is higher than a certain limiting angle, known as the critical angle
the answer is added at the bottom-
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An object is released from rest on a planet that has no atmosphere. The object falls freely for 3 m in the first second. What is the magnitude of the acceleration due to gravity on the planet?.
An object is released from rest on a planet that has no atmosphere. The object falls freely for 3 m in the first second. The magnitude of acceleration due to gravity is g = 6 m/s²
How to calculate?if we ignore air friction, height h an object falls under a gravity g is calculated through:
h =h₀ + v₀*t - 1/2*g*t²
where,
t= time to reach a height h
v₀ = initial vertical velocity of the object =0 m/s( since is released from the rest)
g = gravity
h₀ = initial height = 3m
if object starts at height h₀ = 3 m then it finishes at height h= 0 m when it falls 3 meters.
then since v₀=0 m/s :
h =h₀ - 1/2*g*t²
replacing values
0 = 3 m - 1/2*g*(1 s)²
g= 2*( 3m - 0m)/(1 s)² = 6m/s²
g = 6 m/s²
What do you mean by acceleration due to gravity?The acceleration of a body in free fall under the influence of the earth's gravity expressed as the rate of increase of velocity per unit of time and assigned the standard value of 980.665 centimeters per second also called g.
The acceleration of an object changes with the altitude. The change in the gravitational acceleration with distance from the center of Earth follows an inverse-square law. This means that the gravitational acceleration is inversely proportional to the square of the distance from the center of Earth. As distance is doubled, the gravitational acceleration decreases by a factor of 4. As distance is tripled, the gravitational acceleration decreases by a factor of 9, and so on.
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i need help with this
Answer:
Character: Example 2
Plot: Example 3
Theme: Example 1
Explanation:
A character is a person that is apart of a story, the plot is the events and the "flow" of the story, and the theme is a lesson that can be taken in real life from the story.
Answer:
Character- Mickey mouse, a reporter, Katniss, Romeo
Theme- An act of kindness can affect others in unexpected ways
Plot- A boy wakes up in a strange world, leaves his belongings, battles monsters, and then wakes up to relize it was all a bad dream. He appreciation for his family more when his nightmare ends
Explanation:
on a cosmic calendar that compresses the history of the universe into one year, our milky way galaxy probably formed
On a cosmic calendar which compresses the history of the universe into one year, our milky way galaxy probably formed on March 1st.
What is a cosmic calendar?A cosmic calendar can be defined as a scale on which the history of the universe is compressed into one (1) year. This ultimately implies that, a cosmic calendar is used by astronomers and scientists alike to compress the history of the universe is compressed into one (1) year.
Based on the information on a cosmic calendar which compresses the history of the universe into one (1) year, we can reasonably infer and logically deduce that our milky way galaxy was probably formed on March 1st.
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The temperature of an ideal monatomic gas rises by 8.0 k. what is the change in the internal energy of 1 mol of the gas at constant volume?
The change in the internal energy of 1 mol of the gas at constant volume is 100J
What is internal energy?The energy contained within a thermodynamic system is referred to as its internal energy. Internal energy is constant in an isolated system. It is the energy required to build or prepare the system in the internal state that it is in at the time.
The kinetic energy of individual particles within the system is included, but not the kinetic energy of motion of the system as a whole. It records the system's energy gains and losses that result from modifications to its internal state. It is impossible to directly quantify internal energy. It is determined by comparing the difference to a conventional state-defined reference zero.
We know that, change in internal energy at constant volume is given by
[tex]dE_{int}[/tex] = n × Cv × dT
Here, n = no. of moles
Cv = molar heat capacity
dT = temperature difference
Applying the equation on the question, we get
[tex]dE_{int}[/tex] = 1 mol × 12.47 J/mol k × 8k
= 99.76 J ≈ 100J
Hence, the change in internal energy during the process is 100 J
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Sometimes scientists gather information that contradicts accepted theories or explanations. if the new information is replicated many times, the accepted theory that it contradicts will often be updated or modified to reflect the new information. based on this, it can be determined that scientific knowledge is durable in part because a. new information on accepted theories is never discovered. b. experiments are never performed more than once. c. scientists ignore information that contradicts accepted theories. d. it is open to change as new information is learned.
Scientists occasionally gather data that deviates from conventional ideas or interpretations. The widely held idea that the new information contradicts will frequently be revised or changed to take into account the new information if it is repeatedly verified.
Empirical evidence is the foundation of scientific knowledge. It is strong and lasting since it is the end product of all the prior study and testing that was done. But science also acknowledges that all of this information is a product of human endeavor and that it may contain numerous errors. Therefore, once a new idea is discovered and repeatedly confirmed, scientific knowledge is adaptable enough to take it into account and evolve.
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(a) if the maximum accelerationthat is tolerable for passengers in asubway train is 1.34 m/s2and subwaystations are located 806 m apart, whatis the maximum speed a subway traincan attain between stations?
Complete question
If the maximum acceleration that is tolerable for passengers in a subway train is 1.34m/s
2
and subway stations are located 806m apart, what is the maximum speed a subway train can attain between stations?
From rest, the train is assumed to accelerate at a rate [tex](v_{0} =0)[/tex] and [tex](x_{0}=0)[/tex] of [tex]1 = 1.34m/s^{2}[/tex] until it reaches the halfway point, then decelerates at a rate [tex]2 = 1.34 m/s^{2}[/tex] until it stops [tex](v_{2}=0)[/tex] at the following station. The distance between the two stations (l = 806m).
maximum speed refers back to the fastest rate of speed someone can reap. while athletes regulate the significance (how speedy they may be moving) or path (or each) in their movement, or both, their acceleration adjustments as properly when you consider that acceleration is related to pace, which has both a importance and a path related with it.
Given data:
The midpoint's velocity [tex]V_{1}[/tex] is experienced at:
[tex]x = \frac{1}{2} = \frac{806}{2} =403 m[/tex]
Then,
⇒ [tex]\mathrm{V}_{1}^{2}=\mathrm{V}_{0}^{0}+2a_{1} x[/tex]
⇒ [tex]v_{1} =\sqrt{0+2*1.34*403}m/s[/tex]
= 32.86 m/s
Thus, the maximum speed attained is 32.86 m/s.
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canadian geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. one such bird is flying at 100 km/h relative to the air, but there is a 46.0 km/h wind blowing from west to east. you may want to review (page) . for help with math skills, you may want to review:
The bird should fly at an angle of roughly South 23.58° East if it wants to move directly southward in relation to the earth.
The magnitude of the bird's velocity is 100 km/h, among other components of the velocity.
North-South direction equals the direction of the bird.
Wind velocity is 40 km/h in magnitude.
The wind is blowing in an east to west direction.
The two velocities' component vectors are as follows:
Bird's velocity is v = -100 j.
Wind speed, v = 40 i.
If a bird has a southerly velocity, it will move in that direction.
component of velocity to account for the wind's speed.
Let be the angle of the bird's direction in relation to the
we have a negative x-axis.
In the third quadrat, -100 cos = -40 I 66.42°,
Given that the y and x numbers in the third quadrat are both negative, -100 cos = -40i 66.42°.
Therefore, the angle in the south-west direction is 90 - 66.42 23.58°.
Therefore, to fly directly southward relative to the ground, the bird should fly in the direction of south 23.58° east.
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An athlete leaves the base camp and hikes 10 km, north and then hikes 5 km east. Determine his resulting displacement.
5km East
125km NE
15 km SE
11.2 km NE
Answer: 11.2
Explanation:
consider the acceleration of a particle along a straight line with an initial position of 0 m and an initial velocity of 0 m/s.
The calculated speed is 8 m/s.
The region below the curve in the acceleration vs. time graph can be used to calculate velocity. Similar to the integral in equation, this (1). The area underneath the graph in the first four seconds in this example is just a rectangle with a base of t1=2s and a height of a1=4m/s2.
Therefore, the area is v24=a1
t24=4m/s2
2m/s=8m/s.
Since the particle begins at rest and is not accelerated for the first second, its velocity after 4 seconds is
v (4s) =v24
=8 m/s.
The complete question is- Consider the acceleration of a particle along a straight line with an initial position of 0 m and an initial velocity of 0 m/s.
a. What is the velocity at 4 s?
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Atoms from group 16 will generally form ions with a charge of
Answer:
-2
Explanation:
Answer:
Explanation
hey b
the discovery of exoplanets has provided strong validation for the nebular theory, but it also forced scientists to recognize that the theory was incomplete (as it stood before the exoplanet discoveries).which idea below was added to the theory after the discovery that some massive planets orbit very close to their stars?
Planets can migrate inward or outward from the orbits on which they originally formed.
How does nebular theory explain some observed features of the present-day solar system?The best-known theory regarding how the solar system formed is the nebular hypothesis. According to this, the solar system was mostly composed of vast nebulae, which are clouds of gas and dust. Due to the ionised gases' powerful electromagnetic forces, the nebula gradually began to compress and begin producing masses that gravitationally attracted one another. According to the Nebular theory, the solar system's sun is a protostar produced by the core mass that was subjected to the greatest forces. According to nebular theory, the planets in the solar system rotated as a result of the nebula's continuous rotation.
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The density of lead is 19,300 kg/m3 . how many times the density of gold nuclei is greater than the density of gold?
The mass of gold with the dimensions 10 cm, 5 cm, & 20 cm will be 19.3 kg.
What is volume ?
The amount of cubic space a three-dimensional object takes up (measured in inches, quarts, or centimeters): square footage. The volume that a certain amount of a substance fills.
Although the dimensions were given in centimeters, you require the volume in cubic meters.
The dimensions must also be given in meters because the units must match. The conversion is to multiply the centimeters by 100 to obtain the volume in cubic meters.
0.10 x 0.05 x 0.20 = 0.001 m^3
To determine the mass of the gold block, multiply by the density.
0.001 x 19,300 = 19.3 kg
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Question:
The density of gold is 19300 m^3/kg. What will be the mass of gold with the dimensions 10 cm, 5 cm, & 20 cm?
In a calorimetry experiment, it was determined that the heat change of the surroundings (qsurroundings) was 4482 j. what is the heat change of the system (qsystem)?
The heat of the surroundings is - 4482 J.
What is the heat change of the system (qsystem)?A calorimeter is a device in which that is no exchange of heat between the device and the environment. In other words, there could only be exchange of heat when the a substance has been put inside the calorimeter.
We know that in a calorimeter;
Heat of the surrounding = Heat of the system
That implies that they are of the same magnitude but of opposite direction hence the heat of the system is - 4482 J.
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Use physics to find the magnitude (actual value) of the electric field at thelocation of the yellow dot.
The Magnitude of the electric field intensity at the location of yellow dot will be -
E = Q/4πε₀Kr²
We have a Yellow dot situated at distance of r meters from the charge.
We have to find the magnitude of Electric field at this Yellow dot.
What is Electric Field of a Charge?The electric field of a charge is the region around the charge in which the influence of charge's electrostatic force can be felt or measured.
According to the question -
Assume that the Yellow dot is at distance 'r' meters apart from the Point charged particle Q. Now, the Electric field intensity at the yellow dot distanced 'r' meters apart will be -
E = Q/4πε₀Kr²
The above formula will give the intensity at the yellow dot. Since the source charge is positive, therefore the direction of the electric field will be away from the charge.
Hence, the Magnitude of the electric field intensity at the location of yellow dot will be -
E = Q/4πε₀Kr²
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As the planets orbit the sun, they are never far from the ____ on the celestial sphere
As the planets orbit the sun, they are never far from the ecliptic on the celestial sphere.
Which planets are never seen to some distance from the sun?
As regarded from the Earth, two of the planets (Mercury and Venus) are in no way a long way from the sun. Venus can get approximately forty eight tiers from the solar, while Mercury can simplest control a 27.5 levels separation from the solar
Why does the orbit of Mars never takes it far from the ecliptic?
this is due to the fact the trails of each worlds are tilted a piece. Mars's orbit is tilted by about two ranges. that means it is able to wander two levels away from the ecliptic.
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Suppose a star glows most brightly at wavelength 625 nm. what is its temperature? express your answer in kelvins and round to the nearest whole number.
The temperature of the star will be equal to 4630000 K.
What is temperature?Temperature is defined as the physical parameter used to differentiate hotness and coldness. The temperature is calculated in kelvin, Fahrenheit, or degree Celcius.
According to Wien's displacement law, a star's temperature and peak wavelength are related:
T = ( b / λ )
Where,
T is the absolute temperature at the star's surface
b = 2.898 x 10 ⁻³ is Wien's displacement constant
λ = 625 x 10⁻⁹ is the peak wavelength
Substituting the values in the equation.
T = ( b / λ )
T = ( 2.898 x 10 ⁻³ ) / ( 625 x 10⁻⁹ )
T = 4630000 K
Therefore, the temperature of the star will be equal to 4630000 K.
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The n-h bond in the ammonium ion, nh 4, is formed by the overlap of what two orbitals? sp2-s sp3-sp2 sp3-sp3 sp2-sp2 sp3-s
sp3-s
In the ammonium ion , 2s and 2p orbitals create four sp3 hybrid orbitals. Three form covalent bonds with hydrogen. The fourth sp3 orbital has a non bonding lone pair of electrons, which can create ammonium ion.
Amonium Ion is NH4+1Ammonium Ion is called Alkaline AirAmmonium Ion is a olourless gas with a strong pungent odor and very soluble in water and ether. it is a polar compoundAmmonium Ion has a strong irritating action on the mucous membranes of the eyes, nose, and throat.If ammonium is produced then a pungent smelling gas is produced, turns damp red litmus blue during lab test.To know more ammonium ion visit : https://brainly.com/question/11173657
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1. In 10 seconds a car accelerates 4m/s2 to 6 m/s. How fast was the car going before it accelerated?
2. An object at rest starts accelerating. If it travels 10 meters to end up going 20 m/s, what was its acceleration?
3. A car stops in 150 m. If it has an acceleration of –8m/s2, how long did it take to stop?
4. An object is thrown up into the air going 100 m/s. How fast is it going 1.5 seconds later?
5. A rock falls off a cliff and falls for 1 secs. How high is the cliff?
6. A person throws tennis ball 2 m/s straight up. How long does it take for it to come back to their hand?
7. A ball goes 400 m in 4 seconds. If was moving 10 m/s to begin with, what is its final velocity?
The results of the calculation are;
1) The acceleration is 0.2 m/s^2
2) The acceleration is 20 m/s^2
3) Can not be solved as the parameters are not complete
4) Has a final velocity of 114.7 m/s
5) The height is 4.9 m
6) The total time taken is 0.4 s
7) The final velocity is 190 m/s
What is the acceleration?The term acceleration is defined as the rate of change of the velocity with time. We shall now look at the solution to each of the problems.
1) Using;
v = u + at
v = final velocity
u = initial velocity
a = acceleration
t = time
a = v - u/t = 6 - 4/10
a = 0.2 m/s^2
2) v^2 = u^2 + 2as
s = distance
u = initial velocity
a = acceleration
v =final velocity
Given that it started from rest u = 0 m/s
v^2 = 2as
a = v^2/2s
a = (20)^2/ 2 * 10
a = 20 m/s^2
3) This problem can not be solved because the initial velocity is missing
4) v = u + gt
v = 100 + (9.8 * 1.5)
v = 114.7 m/s
5) h = ut + 1/2 gt^2
Since it was dropped from a height u = 0 m/s
h = 1/2 gt^2
h = 0.5 * 9.8 * (1)^2
h = 4.9 m
6) v = u + gt
At the maximum height v = 0 m/s
u = gt
t = u /g
t = 2/9.8
t = 0.2 s
To go up and come back 2(0.2) = 0.4 s
7) s = ut + 1/2 at^2
400 = (10 * 4) + 0.5 * (4)^2 * a
400 = 40 + 8a
400 - 40/8 = a
a = 45 m/s^2
Using;
v = u + at
v = 10 + 45 * 4
v = 190 m/s
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