Bob is driving the getaway car after the big bank robbery.

Chapter 2, Problem 59P

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QUESTION:

Problem 59P

Bob is driving the getaway car after the big bank robbery. He’s going 50 m/s when his headlights suddenly reveal a nail strip that the cops have placed across the road 150 m in front of him. If Bob can stop in time, he can throw the car into reverse and escape. But if he crosses the nail strip, all his tires will go flat and he will be caught. Bob’s reaction time before he can hit the brakes is 0.60 s, and his car’s maximum deceleration is 10 m/s2. Is Bob in jail?

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QUESTION:

Problem 59P

Bob is driving the getaway car after the big bank robbery. He’s going 50 m/s when his headlights suddenly reveal a nail strip that the cops have placed across the road 150 m in front of him. If Bob can stop in time, he can throw the car into reverse and escape. But if he crosses the nail strip, all his tires will go flat and he will be caught. Bob’s reaction time before he can hit the brakes is 0.60 s, and his car’s maximum deceleration is 10 m/s2. Is Bob in jail?

ANSWER:

Step 1 of 3

Here we need to estimate whether Bob will be able to stop the car before the nail strip (Not to be jailed).

In the given case, if Bob can stop the car before crossing the nail strip, he can escape or if he crosses the nail strip, he will be caught.

Given data,

Initial speed of car,  

Maximum deceleration of the car,  

Reaction time,  

Total distance,  

To find,

Reaction distance,  

Final speed of car,  

 

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