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IP You are driving through town at 16 m/s when suddenly a

Chapter 2, Problem 58P

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QUESTION:

Problem 58P

IP You are driving through town at 16 m/s when suddenly a car backs out of a driveway in front of you. You apply the brakes and begin decelerating at 3.2 m/s2, (a) How much time does it take to stop? (b) After braking half the time found in part (a), is your speed 8.0 m/s, greater than 8.0 m/s, or less than 8.0 m/s? Support your answer with a calculation, (c) If the car backing out was initially 55 m in front of you, what is the maximum reaction time you can have before hitting the brakes and still avoid hitting the car?

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QUESTION:

Problem 58P

IP You are driving through town at 16 m/s when suddenly a car backs out of a driveway in front of you. You apply the brakes and begin decelerating at 3.2 m/s2, (a) How much time does it take to stop? (b) After braking half the time found in part (a), is your speed 8.0 m/s, greater than 8.0 m/s, or less than 8.0 m/s? Support your answer with a calculation, (c) If the car backing out was initially 55 m in front of you, what is the maximum reaction time you can have before hitting the brakes and still avoid hitting the car?

ANSWER:

Step 1 of 6

Part (a)

We are traveling in a car with a particular speed and suddenly an another car backs out of a driveway. We apply the brakes and the car starts decelerating. We are going to find the time taken for us to stop completely.

The initial speed vo = 16 m/s

The final speed v = 0

The acceleration a = -3.2 m/s2 (deceleration)

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