A motorist is driving his car at 60km/hr when he observes that a traffic light 250m ahead turns red. The traffic light is
timed to remain red for 20 seconds before it turns green. The motorist wishes to pass the traffic lights without stopping to wait for it to turn green. make calculations for
(a) the required uniform acceleration of the car
(b) the speed of the car as it passes the traffic light in km/hr​

Answers

Answer 1

Explanation:

Okay soo-

Given-

u = 60 km/hr = 60×1000/3600=50/3 m/s

t = 20 s

s = 250 m

a = ?

v = ?

Solution -

Here, acceleration is uniform.

(a) According to 2nd kinematics equation,

s = ut + ½at^2

250 = 50/3 ×20 + 0.5×a×20×20

250-1000/3=200a

(750-1000)/3=200a

a = -250/(3×200)

a = -5/12

a = 0.4167 m/s^2

The required uniform acceleration of the car is 0.4167 m/s^2.

(b) According to 1st kinematics equation

v = u + at

v = 50/3 + (-5/12)×20

v = 50/3-25/3

v = 25/3

v = 8.33 m/s

The speed of the car as it passes the traffic light is 8.33 m/s.

Good luck!


Related Questions

A 60-Hz 3-phase induction motor is required to drive a load at approximately 850 rpm. How many poles should the motor have

Answers

Answer:

8 poles

Explanation:

Given

[tex]Frequency, f = 60Hz[/tex]

[tex]Speed, n_s = 850rpm[/tex]

Required

Calculate the number of poles the motor should have?

To solve this question, we make use of synchronous angular velocity  formula

[tex]n_s = \frac{120f}{P}[/tex]

Where

[tex]P = Number\ of\ Poles[/tex]

Substitute values for [tex]n_s[/tex] and f in [tex]n_s = \frac{120f}{P}[/tex]

[tex]850 = \frac{120 * 60}{P}[/tex]

[tex]850 = \frac{7200}{P}[/tex]

Multiply both sides by P

[tex]P * 850 = \frac{7200}{P} * P[/tex]

[tex]P * 850 = 7200[/tex]

Divide both sides by 850

[tex]\frac{P * 850}{850} = \frac{7200}{850}[/tex]

[tex]P = \frac{7200}{850}[/tex]

[tex]P = 8.47058823529[/tex]

However, the number of poles must be an integer.

So:

[tex]P = 8[/tex]

Which of the following is the use and study of liquid fluids and their motions, properties, behaviors, and interactions?
O pneumatics
O hydraulics
O torque
O fluid power

Answers

Answer:

hydraulics

Explanation:

Answer:

b

Explanation:

How large a force is required to accelerate a 1300 kg car from rest to a speed of 20 m/s in a distance of 80 m?

Answers

F=m*a

F=80*20

F =1600 ans"

Answer: basically we are asked to find it's force and the formula that helps us to find force is Force= Mass× Acceleration

so let's put out the given and what we need to find

GIVEN. Solution

F=m.a

Mass= 1300. F=1300kg×20m/s

speed (Acceleration)=20m/2. F=26000Kg.m/s

Force=? F=26000N

N stands for Newton and the reason that it comes Newton is because it is the SI-unit of Force and the result of kg×m/s.

In a List of Positive Integers, Set MINIMUM to 1. For each number X in the list L, compare it to MINIMUM. If X is smaller, set MINIMUM to X.” Read this STATEMENT very carefully and Answer the below Questions.

A. Will this Algorithm RUN?? Yes or No with a justification

B. Will X Replace Any Value or Not?

Answers

Answer:

A. Yes, it will run

B. X will not replace any value

Explanation:

A. Will it run?

First, the algorithm can be interpreted in python as follows:

#Set Minimum to 1

MINIMUM = 1

#For every element X in the list L

for X in L:

#If current element X is less than MINIMUM

    if X < MINIMUM:

#Set MINIMUM to X

         MINIMUM = X

#Print MINIMUM

print(MINIMUM)

The algorithm will run without error because it follows the right sequence and has no syntax error

B. Will X replace any value?

No, it won't

The smallest positive integer is 1.

So, setting the MINIMUM to 1 means that the value of X in the list will not replace the MINIMUM because the MINIMUM has already been set

A genetically engineered hormone.
increasing muscle mass.
can treat Mary's child for growth hormone deficiencies by stimulating body growth and increasing muscle mass.

Answers

What is the question?

Answer:

the answer is scientifically science chemistry biochemistry aerospace engineering plato english history world ap history yes

Explanation:

que

How much heat is lost through a 3’× 5' single-pane window with a storm that is exposed to a 60°F temperature differential?A. 450 Btu/hB. 900 Btu/hC. 1350 Btu/hD. 1800 Btu/h

Answers

Answer:

A. 450 btu/h

Explanation:

We solve this problem by using this formula:

Q = U x TD x area

U = U value of used material

TD = Temperature difference = 60°

Q = heat loss

Area = 3x5 = 15

We first find U

R = 1/u

2 = 1/U

U = 1/2 = 0.5

Then when we put these values into the formula above, we would have:

Q = 0.5 x 15 x 60

Q = 450Btu/h

Therefore 450btu/h is the answer

what is 7/8 + 1/2 on a ruler

Answers

Answer:

11/8

Explanation:

7/8+4/8=11/8 if you want it on a ruler you need to go online and type fraction to decimal converter and put in 11/8 into a decimal

11/8 or 1.375 as a decimal

Which part of Johnson’s speech is MOST effective in persuading the audience to help build the Great Society?

Answers

Answer:

the total elimination of poverty and racial injustice.

Solve for R.
What is the current going through the 6 ohms light bulb?

Answers

Answer:

9A

Explanation:

Which of the following would be seen as an improvement on the quality of capital or a positive investment? A. Educational test scores are up. B. An assembly line has been closed down. C. Research and development has improved. D. Irrigation systems have been installed.​

Answers

Answer:

The correct option is;

D. Irrigation systems have been installed

Explanation:

The quality of capital measures the amount of capital available within an economy and the benefit derivable from the capital

Quality of capital is improved by advances in technology which are the outcomes of research and development. With technological advancement, a unit of capital can enable a unit of labor to increase the amount of goods produced

The difference between a farm which uses manual labor to water the plants and a farm which uses an irrigation system is that the farm that uses manual watering techniques has a lower quality of capital per worker than the farm that has an irrigation system, which is a positive investment.

Cast iron has about how much carbon content?
A)Less than 1%
B)2%
C)3%
D)4% or higher

Answers

Answer:

c

Explanation:

Suppose the country of Bangladesh wants a low interest loan to invest in the building of infrastructure. Which international organizations would it MOST LIKELY turn to? A. UNDP or UNICEF B. World Bank or UNICEF C. UNDP or World Bank D. UNDP or IMF

Answers

Answer:

C. UNDP or World Bank.

Explanation:

Suppose the country of Bangladesh wants a low interest loan to invest in the building of infrastructure. The international organizations which Bangladesh would most likely turn to are UNDP or World Bank.

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