(a) The position-time equations for fishing boat is x = 3.4t + 40.8
(b) The time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.
Position-time equations for fishing boat
The position-time equations for fishing boat will be obtained by applying the principle of relative velocity as follows;
Let the time when the speedboat catches up = t
let the total time spent by fishing boat = t + 12
Distance traveled by the fishingx = 3.4(t + 12)
x = 3.4t + 40.8
Distance between between the fishing boat and speed boatfishing boat is moving at a constant speed = 3.4 m/s
speed boat started moving 12 seconds later,
distance between the boats = 3.4 m/s x 12 s = 40.8 m
final velocity of the speedboatv = u + at
v = 2.8 + 1.7t
set up the following equation to determine the time when the two boats meet.
vt - x = 40.8
t(2.8 + 1.7t) - (3.4t + 40.8) = 40.8
2.8t + 1.7t² - 3.4t - 40.8 = 40.8
1.7t² - 0.6t - 81.6 = 0
solve the quadratic equation using formula method as shown below;
a = 1.7, b = -0.6, c = -81.6
t = 7.1 seconds
Thus, the time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.
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How many hp (horsepower) is a produced by a 3000 watt engine?
One horsepower (hp) is roughly comparable to 746 watts (W) or 0.746 kilowatts (kW). Multiply by 746 to convert from horsepower to watts. Multiply by 0.00134 to convert from watts to horsepower. multiply by 0.746 to convert horsepower to kilowatts.
What does 750w hp mean?The units of power, or the amount of energy expended during a time unit, are the watt or horsepower. Your motor can produce 750 W of power, or 750 Joules of energy per second, if it has a 1 HP rating. Power is the pace of energy. When power is given over a period of time, the amount of energy is equal to power * time.
A turbocharger may possibly increase your horsepower by 70–150 hp and works with the exhaust system. A supercharger, which may provide 50–100 horsepower, is directly attached to the engine intake.
Theoretically, a horse power equals around 746 Watt in conventional estimates.
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a baseball is hit almost straight up into the air with a speed of 25m/s estimate how high it goes, how long it is in the air, and what factors make this estimate?
The maximum height reached by the baseball is 31.89 m and the time taken to reach there is 1.3 seconds
What is Linear Motion ?Linear motions are straight line motions. It can be horizontal motion, or vertical motion which is motion under gravity.
Given that a baseball is hit almost straight up into the air with a speed of 25m/s estimate how high it goes.
At the maximum height, final velocity V = 0
Using third equation of motion, that is, V² = U² - 2gH, we can estimate how high it goes.
0 = 25² - 2 × 9.8 × H
625 = 19.6H
H = 625/19.6
H = 31.89 m
To know how long it is in the air, the factors that make this estimate will be
The speed = 25 m/sThe distance travelled H = 31.89 mThe time t = ?Speed = s / t
25 = 31.89 / t
t = 31.89 / 25
t = 1.2756
t = 1.3 s
Therefore, the maximum height reached by the baseball is 31.89 m and the time taken to reach there is 1.3 seconds
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What are the reactants in a chemical formula?(1 point) Responses the substance created by chemical change the substance created by chemical change the atoms after the chemical reaction, found on the right side of the equation the atoms after the chemical reaction, found on the right side of the equation the atoms left over after the formation of the new substance the atoms left over after the formation of the new substance the atoms prior to the chemical reaction, found on the left side of the equation
The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation. That is option D.
What is a chemical formula?A chemical formula is defined as the scientific way of representation of chemical compounds either singly or during a chemical reaction.
During a chemical reaction, a chemical formula is made up of a right side and a left side with an arrow at its middle indicating the movement of the energy of the chemical reaction.
The reactants are found located at the left hand side of the chemical formula.
The reactants are made up of elements and compounds which combines to form a new product through the formation of new chemical bonds.
For example in the formation of water,
2H2. + O2. --> 2H2O
Here, Hydrogen and oxygen molecules are the reactants which are seen on the left-hand side of the chemical reaction.
Therefore, The reactants in a chemical formula is the atoms prior to the chemical reaction, found on the left side of the equation.
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Answer: D
Explanation: I took the quick check
help pls will give brainliest
Answer:
a) because book A has a smaller surface area than B and the formula for pressure is Pressure = Force / Area so the smaller the area of contact the larger the pressure exerted on the table.
Explanation:
hope this works :)
what is a four-step energy transformation chain from mechanical to electrical? (something that we use in everyday life)
Energy transformation, also known as energy conversion, is the process of changing energy from one form to another.
What is a four-step energy transformation chain from mechanical to electrical?The energy of transformation in a proper way is known as the transformation chain. When we boiled water in the kettle, then the water starts to boil so electrical energy is converted into thermal energy. When we drop the water from the kettle into the cup, then the gravitational potential energy is converted into the kinetic energy because the height is involved in it. Generator is the source of electrical energy in which mechanical energy is converted into electrical energy.
So we can conclude that energy transformation, also known as energy conversion, is the process of changing energy from one form to another.
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whats the displacement in meters of a car that travels due west at 50m/hr west between 12:00 and 4:00pm
Answer:
200m west
Explanation:
Displacement = v.t where v is the velocity of the object ad t = time
At 50m/hr for 4 hours
Displacement = 50 x 4 = 200m west of origin
how does the distance between 2 objects and their masses affect the gravitational force between the 2 objects
The strength of the gravitational force between two objects depends on two factors, mass and distance exert on each other. If one of the masses is doubled, between the objects is doubled increases, the force of gravity decreases.
What exactly is the gravitational force?Newton's universal law of gravitation states that the attraction force between any two bodies is proportional to the product of their masses and inversely related to the square of the distance between them.
Is the gravitational force 9.8?All objects on Earth experience weight, or a gravitational pull that is proportionate to their mass and is imposed by the planet's mass. A measure of the force of gravity is the acceleration that freely falling objects experience. At the surface of the Earth, gravity accelerates at a rate of about 9.8 meters (32 feet) per second each second.
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what is the relationship between a boats volume and the amount of mass it can hold before sinking
Answer:
Explanation:
the rilation shhip betveen boats annd volummes are ver expennsive
The buoyancy of a boat and the density of the materials used in its construction have an impact on the connection between its volume and the amount of mass it can support before sinking.
Thus, The buoyancy principle asserts that the upward force a fluid (in this case, water) exerts on a submerged or floating item is equal to the weight of the fluid displaced by the object, which is why a boat floats in water.
A boat moves as much water as its own volume while it is submerged in water.
A boat will float if its total weight, including its passengers and cargo, is less than the weight of the water it moves.
Thus, The buoyancy of a boat and the density of the materials used in its construction have an impact on the connection between its volume and the amount of mass it can support before sinking.
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Highway safety engineers build soft barriers so that cars hitting them will slow down at a safe rate. A person wearing a safety belt can withstand an acceleration of 300 m/s/s. How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?
The thickness is mathematically given as
d= 0.7597m
How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?Torricelli's law is a thesis that can be found in the discipline of fluid dynamics. It states that the rate at which fluid is ejected from an orifice is related to the height of fluid that is present above the opening. Torricelli's theorem is another name for this concept.
Generally, the equation for is Torricelli's equation mathematically given as
The stopping acceleration is given by a=-300ms^2
The initial speed is[tex]$v_0=76.86 \mathrm{~km} / \mathrm{h} \approx 21.35 \mathrm{~m} / \mathrm{s}$.[/tex]
We can use Torricelli's equation to find the safe stopping distance $d$. We have
[tex]d=\frac{(21.35 \mathrm{~m} / \mathrm{s})^2}{2\left(300 \mathrm{~m} / \mathrm{s}^2\right)}[/tex]
d= 0.7597m
In conclusion, The thickness is mathematically given as
d= 0.7597m
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Why does amygalda play an increased role in the decision making process of teens than in adults?
Fist fights
Drinking hard liquor
Reckless driving
eating disorders
Answer:
tr
Explanation:
ewetwer
A child traveling 5 m/s on a sled passes her younger brother. If her average acceleration on the sledding hill is 2 m/s^2. how fast is she passes her older brother 4 s later?
Answer:
13 m/s
Explanation:
Given average acceleration a and initial velocity v0 we can compute the final velocity using the equation
a = (v - v0)/t where t is the time taken to reach final velocity from initial velocity
Here a = 2 m/s² and v0 is the initial velocity when she passes her younger brother v0 = 5m/s.
It takes t = 4 s to pass her older brother at which time her speed is v, say
Then
a = (v - v0)/t
Plugging in known values,
2 = (v - 5)/4
Switch sides:
(v- 5)/4 = 2
Multiply both sides by 4:
v - 5 = 8
v =5 + 8 = 13 m/s - the speed at which she passes her older brother
Please Help me to solve this problem!!!!!!
Answer:
Im pretty sure its B
Explanation:
correct me if wrong
8) A projectile of mass 0.25 kg moving at 24.0 m/s collides with and sticks to a 1.75-kg block that is connected to a spring for which k = 40.0 N/m, as in the figure below. The block is initially on a frictionless part of a horizontal surface but starts to slide on a rough section immediately after the collision. If the maximum compression of the spring is 0.5 m, what is the force of friction on the block
Answer:
God bless you are a hacker the following reas of
Explanation:
God bless you forever to get
Does anyone know how to solve this before the deadline???!!!
[tex]V(bar)=46.33(km/hr).[/tex]
Explanation:Let's refer to the formula of average velocity.
Formula: [tex]V(bar)=\frac{td}{ct}[/tex], where td is the todal displacement, and ct is the change in time.
Since we're trying to find out the average velocity of the whole event (from time 0 when the car started moving to time 30 minutes when it finished the trip), we must take 30 minutes as our change in time.
Now, we need to find the distance traveled by the car on each instance of speed:
1. Distance covered with speed 1.
To find the covered distance, use the following formula.
[tex]d=vt[/tex], where "v" is velocity, and "t" is time.
Note. When using this type of formulas, all variables must match units. For example, say that your velocty is on km/hr, this means that the time or distance you input or calculate is going to be on kilometers or hours.
Find the value.
[tex]d=(61(km/h))(10(min))\\ \\d=610 (km).[/tex]
2. Distance covered with speed 2.[tex]d=(39(km/h))(20(min))\\ \\d=780 (km).[/tex]
3. Find average velocity through the given formula.Note. We add up both calculated distances to find the total displacement of the car.
[tex]V(bar)=\frac{td}{ct}\\ \\V(bar)=\frac{610(km)+780(km)}{30(min)}\\ \\V(bar)=46.33(km/hr).[/tex]
The average velocity of the car in Km/h during the trip is 98.37 Km/h
What is velocity?Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:
Velocity = displacement / time
What is average velocity?This is the total displacement travelled divided by the total time taken to cover the displacement. Mathematically, it can be expressed as:
Average velocity = Total displacement / total time
How to determine the displacement travelled in the first 10 minsVelocity = 61 Km/hTime = 10 mins = 10 / 60 = 0.167 h displacement =?Displacement = velocity × time
Displacement = 61 × 0.167
Displacement = 10.187 Km
How to determine the average velocity Total displacement = 10.187 + 39 = 49.187 KmTotal time = 10 + 20 = 30 mins = 30 / 60 = 0.5 hAverage velocity =?Average velocity = Total displacement / total time
Average velocity = 49.187 / 0.5
Average velocity = 98.37 Km/h
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What is the gravitational force acting on a 77.80 kg object standing on the Earth's
surface?
Answer:
Si un cuerpo de masa m se encuentra a una altura h sobre la superficie de la Tierra, la fuerza gravitacional que actúa sobre él es: De acuerdo con la segunda ley de Newton, esta fuerza gravitatoria imprimirá una aceleración en el cuerpo
Explanation:
An object is observed to fall from a bridge, striking the water below with a velocity of 187.82 m/s. The height of the bridge in meters is:
The height of the bridge is 1796.895 m if an object falls from the bridge and strike the water below with a velocity of 187.82 m/sec.
Velocity of the object, v = 187.80 m/s
Height of the bridge will be
According to the three equations of motion,
1) First equation Velocity - Time relation states that,
[tex]v = u + at[/tex]
here 'a' will be the acceleration due to gravity i.e g = 9.8 [tex]\frac{m}{secx^{2} }[/tex]
'v' = 187.80 m/s
'u' = 0 m/s
therefore,
[tex]t = \frac{v - u}{a}[/tex]
[tex]t = \frac{187.80 - 0}{9.81}[/tex]
t = 19.14 sec
2) Second equation Position - Time relation states that,
[tex]s = ut + \frac{1}{2} at^{2}[/tex]
here 'a' will be the acceleration due to gravity i.e g = 9.8 [tex]\frac{m}{secx^{2} }[/tex]
'u' = 0 m/s
't' = 19.14 sec
[tex]s = 0 + \frac{1}{2} 9.81 *(19.14^{2})[/tex]
s = 0 + 4.905 * 366.34
s = 1796.895 m
The height of the the bridge is 1796.895 m.
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What action should you take if you are in debt
Answer:
1. save enough money to pay larger debts
Explanation:
A student throws a set of keys vertically upward to her sorority sister, who is in a window 2.30 m above. The second student catches the keys 2.50 s later.
(a) With what initial velocity were the keys thrown?
The initial velocity of the keys is 13.17 m/s.
A student tosses her sorority sister, who is in a window 2.30 meters above, a set of keys vertically upward.
The second student catches the key 2.50s later.
We simulate the keys as a particle falling at a steady speed. Assume that the positions of the first and second students are, respectively, y(i) = 0 and y(f) = 2.30m.
Now, we have
The time of flight of the keys is t = 2.50 seconds.
Now, the acceleration is a(y) = -9.8 m/s²
We will use the equation of motion,
y(f) = y(i) + v(yi) × t + ( 1/2 ) × a(y) × t²
v(yi) = [ y(f) - y(i) - ( 1/2 ) × a(y) × t² ] / t
v(yi) = [ 2.3 - 0 - ( 1/2 ) × ( - 9.8 ) × (2.5)² ] / 2.50
v(yi) = [ 2.3 + 30.625 ] / 2.50
v(yi) = 32.925 / 2.5
v(yi) = 13.17 m/s
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2. What tools allows you to provide a clean soldered? a. Soldering Iron b. Soldering Lead c. Soldering Flux d. Soldering Stand
Soldering Stand allows you to provide a clean soldered.
By melting and inserting a filler metal with a lower melting point than the adjacent metal into the joint, two or more objects are connected together by the process of soldering. Soldering doesn't involve melting the work components as welding does.
A hand instrument used in soldering is a soldering iron. In order for the solder to flow into the joint between two workpieces, it needs heat to melt. A hot metal tip and an insulated grip make up a soldering iron.
Soldering stands: Of course, soldering supports are necessary for safety reasons as well as for maintaining the cleanliness of the soldering tip. The soldering iron heats up after a while, so it's crucial to store it safely to prevent any fire disasters.
The tool that allows you to provide clean soldering is a Soldering stand.
The correct option is (d).
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You are on top of a building that is 75.0 m tall. You toss a ball straight up with an initial velocity of 33.8m / s How high does the ball travel? It goes up and then falls down to the ground below. How much time is it in the air?
1 The ball travel 58.29 m high
2. The time the ball spend in the air is 8.67 s
1. How to determine the maximum heightThe maximum height reached by the ball can be obtained as follow:
Initial velocity (u) = 33.8 m/sFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Maximum height (h) =?v² = u² – 2gh (since the ball is going against gravity)
0² = 33.8² – (2 × 9.8 × h)
0 = 1142.44 – 19.6h
Collect like terms
0 – 1142.44 = –19.6h
–1142.44 = –19.6h
Divide both side by –19.6
h = –1142.44 / –19.6
h = 58.29 m
2. How to determine the time spend by the ball in the airWe'll begin by calculating the time to reach the maximum height . This can be obtained as follow:
Initial velocity (u) = 33.8 m/sFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Time to reach maximum height (t₁) =?v = u – gt (since the ball is going against gravity)
0 = 33.8 – (9.8 × t₁)
0 = 33.8 – 9.8t₁
Collect like terms
0 – 33.8 = –9.8t₁
–33.8 = –9.8t
Divide both side by –9.8
t₁ = –33.8 / –9.8
t₁ = 3.45 s
Next, we shall determine the time take to fall to the ground
Acceleration due to gravity (g) = 9.8 m/s²Maximum height from building = 58.29 mHeight of building = 75 mTotal height (h) = 58.29 + 75 = 133.29 mTime to fall to the ground (t₂) =?h = ½gt²
133.29 = ½ × 9.8 × t₂²
133.29 = 4.9 × t₂²
Divide both side by 4.9
t₂² = 133.29 / 4.9
Take the square root of both side
t₂ = √(133.29 / 4.9)
t₂ = 5.22 s
Finally, we shall determine the time spend by the ball in the air. This is shown below:
Time to reach maximum height (t₁) = 3.45 sTime to fall to the ground (t₂) = 5.22 sTotal time (T) = ?T = t₁ + t₂
T = 3.45 + 5.22
T = 8.67 s
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The accelerating force of the wind on a small 200-kg sailboat is 707 N northeast. If the drag of the keel is 500 N acting west, what is the acceleration of the boat?
The acceleration of the boat is 2.5 m/s².
The weight of a small sailboat is 200 kg.
The accelerating force of the wind on the boat is 707 N northwest and 500 N acting west.
Taking into consideration the wind's accelerating force. It can be visualized as the combination of two elements:
707 /√2 = 500 N acting north, and
707 /√ 2 = 500 N acting east.
It is acting both to the North and to the East because it is supposed to be acting in the Northeast wards. The drag of the keel's eastward component will then cancel out its westward counterpart.
Essentially, 500 N north will then be the result of two forces acting on the boat.
Then, we divide the force by the specified mass in order to obtain the boat's acceleration.
500/200 = 2.5 m/s² northward.
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Why do the planets stay in orbit?
O friction
O gravity
O kinetics
O mass
Answer:
B
Explanation:
Gravity
A small bottle has a mass of 20 g when empty. The volume of the bottle is 10 cm3. When full of liquid, the total mass is 150 g. What is the density of the liquid?
Answer:
The density of liquid is 15g/cm^3
Explanation:
m= 150h
v=10 cm^3
d=?
we know that,
d=m/v
= 150/10
=15
Sample Question: 4
A 5 kg mass is lifted from the ground to
a height of 10m.
The gravitational potential energy of
the mass is increased approximately
by
The gravitational potential energy of the mass in increased approximately by 490 J
Gravitational Potential energy formula is
P=mgh
where mass is given my m= 5 Kg
g is the gravitational force i.e. 9.8 [tex]m/s^{2}[/tex]
h is the height above the ground that is given by 10 m
P = 5*9.8*10
P = 490 J
What is gravitational potential energy?
The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy).
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What are the three functions of the integumentary system?
According to the research, the correct option are protection, thermoregulation and immune surveillance. The three functions of the integumentary system are protection, thermoregulation, and immune surveillance.
What is the integumentary system?It is made up of a deep layer of connective tissue that is directly related to the environment in which it has the peculiarity of the abundance of collagen fibers.
In this sense, its functions include protection against mechanical, thermal, and chemical-toxic injuries and against microorganisms, regulation of body temperature, and immune surveillance and response to external agents.
Therefore, we can conclude that according to the research, the correct option are protection, thermoregulation and immune surveillance. The three functions of the integumentary system are protection, thermoregulation, and immune surveillance.
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Answer
According
to the Kinetic
Molecular theory, states that
make up matter are in
Answer:
they are four natural states that makes up matter which are; solid, liquid, gases and plasma.
i hope thus helps you
1. After completing the professional self-inventory, introduce yourself to your instructor and classmates as you would to an employer in an interview by briefly describing your work (or volunteer) experience. Use the results of your self-inventory to guide your introduction. 2. Explain how your work (or volunteer) experience or skills will be valuable in the healthcare field. 3. Describe two (2) tips for writing an effective work experience section from your research. Be sure to cite your source(s).
app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.
Let us assume that self-inventory is a health care application.
It is useful in the domain of health care.
the app will diagnose a particular disease and suggest the appropriate measures and helps in booking an appointment with the doctor.
so this is a computer engineering student's invention he/she can show this in the workplace and can explain them.
this would increase the chances of getting hired.
This also adds to our experience.
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What is the acceleration of a ball rolling 12 m/s to a stop in 3 seconds?
0.25 m/s^2
4 m/s^2
-0.25 m/s^2
-4 m/s^2
2. Use evidence to evaluate if black holes
exist?
Answer:
They do exist.
Explanation:
Black holes exist because they could be found almost everywhere maybe there isn't anything inside it but there is many black holes!
Answer: the best evidence is through micro-quasars, also known as x-ray binaries. These objects emit strong x-rays from an Earth-sized region in space.
What do simple machines accomplish?
A. Simple machines keep the total amount of work the same, but make work more difficult.
B. Simple machines reduce the total amount of work.
C. Simple machines increase the total amount of work.
D. Simple machines keep the total amount of work the same, but make work easier.
Answer:
D
Explanation:
"Simple machines cannot change the amount of work done, but they can reduce the effort force that is required to do the work!"
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