Problems 2.112-113 Example 2-17 depicts the following scenario with the accompan

Question

Problems 2.112-113

Example 2-17 depicts the following scenario with the accompanying figures.
A speeder doing 40.0 mi/h (about 17.9 m/s) in a 25 mi/h zone approaches a parked police car. The instant the speeder passes the police car, the police begin their pursuit. The speeder maintains a constant velocity, and the police car accelerates with a constant acceleration of 4.0 m/s2.

Now we will consider some slightly different related scenarios to Example 2-17.

Part A

Suppose the speeder (red car) is traveling with a constant speed of 22 m/s. If the police car is to start from rest and catch the speeder in 12 s or less, what is the maximum head-start distance the speeder can have? Measure time from the moment the police car starts.

Express your answer using one significant figure.

143

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Part B

Suppose the speeder in part A passes the position of the police car and the police car immediately starts from rest and pursues the speeder with constant acceleration. What acceleration must the police car have if it is to catch the speeder in 8.0 s?

Express your answer using two significant figures.

dmax =

143

  m   vo 17.9 m/s a 4.51 m/s 17S 150 E 125 100 75 50 Speeder, Police car,

Explanation / Answer

part a

distance travelled by police car

s = ut +1/2 at2

xp = 0* 12 + 1/2 *4*122 = 288 meters

part b

s = ut +1/2 at2

constant acceleration a = (2s/t2) = 9 m/s2

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