Answer: CALC A car is stopped at a traffic light. It then

Chapter 2, Problem 7E

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QUESTION:

Problem 7E

CALC A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t) = bt2 - ct3, where b = 2.40 m/s2 and c = 0.120 m/s3. (a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s. (b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s, and t = 10.0 s. (c) How long after starting from rest is the car again at rest?

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QUESTION:

Problem 7E

CALC A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t) = bt2 - ct3, where b = 2.40 m/s2 and c = 0.120 m/s3. (a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s. (b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s, and t = 10.0 s. (c) How long after starting from rest is the car again at rest?

ANSWER:

Solution 7E

Step 1 :

Let us consider the data given

Function condition

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