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IP Assume that the brakes in your car create a constant
Chapter 2, Problem 39P(choose chapter or problem)
Problem 39P
IP Assume that the brakes in your car create a constant deceleration of 4.2 m/s2 regardless of how fast you are driving. If you double your driving speed from 16 m/s to 32 m/s, (a) does the time required to come to a stop increase by a factor of two or a factor of four? Explain. Verify your answer to part (a) by calculating the stopping limes for initial speeds of (b) 16 m/s and (c) 32 m/s.
Questions & Answers
QUESTION:
Problem 39P
IP Assume that the brakes in your car create a constant deceleration of 4.2 m/s2 regardless of how fast you are driving. If you double your driving speed from 16 m/s to 32 m/s, (a) does the time required to come to a stop increase by a factor of two or a factor of four? Explain. Verify your answer to part (a) by calculating the stopping limes for initial speeds of (b) 16 m/s and (c) 32 m/s.
ANSWER:
a.)
Step 1 of 6
We have to find the time required for a car to come to a stop increases by a factor of two or a factor of four, when it’s driving speed is doubled from 16 m/s to 32 m/s.
The initial speed of the car is 16 m/s and the time it takes for the car to stop can be found using equation of motion
where,
final velocity = 0 m/s
= initial speed = 16 m/s
constant deceleration =
m/s2
Thus,
= 3.80 s