A cab driver is driving a car along a straight road at a constant speed of 23.5 m/s. Just as he passes a law officer parked along the side of the road, the officer starts to accelerate 4.00 m/s to overtake him. Assume that the officer maintains this acceleration. (a) From the moment the cab driver passes the officer, determine the time it takes the officer to reach the cab driver (in s). Since the displacement of the car and officer are the same, you can equate an expression for the displacement of each as a function of time and then determine the time. s (b) Find the speed of the officer as he overtakes the cab driver (in m/s). Recall that the officer is initially at rest. Knowing the time of travel and the constant acceleration, how can we determine the speed? m/s (c) Find the total displacement of the officer as he overtakes the cab driver (in m). Recall that the officer starts from rest and that his acceleration is constant. Knowing the acceleration of the officer and the time it takes catch the car, you should be able to identify a kinematic equation that will allow you to determine the displacement of the officer during this process. m
A cab driver is driving a car along a straight road at a constant speed of 23.5 m/s. Just as he passes a law officer parked along the side of the road, the officer starts to accelerate 4.00 m/s to overtake him. Assume that the officer maintains this acceleration. (a) From the moment the cab driver passes the officer, determine the time it takes the officer to reach the cab driver (in s). Since the displacement of the car and officer are the same, you can equate an expression for the displacement of each as a function of time and then determine the time. s (b) Find the speed of the officer as he overtakes the cab driver (in m/s). Recall that the officer is initially at rest. Knowing the time of travel and the constant acceleration, how can we determine the speed? m/s (c) Find the total displacement of the officer as he overtakes the cab driver (in m). Recall that the officer starts from rest and that his acceleration is constant. Knowing the acceleration of the officer and the time it takes catch the car, you should be able to identify a kinematic equation that will allow you to determine the displacement of the officer during this process. m
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Transcribed Image Text:A cab driver is driving a car along a straight road at a constant speed of 23.5 m/s. Just as he passes a law officer parked along the side of the road, the officer starts to accelerate 4.00 m/s? to overtake him. Assume that the officer maintains this acceleration.
(a) From the moment the cab driver passes the officer, determine the time it takes the officer to reach the cab driver (in s).
Since the displacement of the car and officer are the same, you can equate an expression for the displacement of each as a function of time and then determine the time. s
(b) Find the speed of the officer as he overtakes the cab driver (in m/s).
Recall that the officer is initially at rest. Knowing the time of travel and the constant acceleration, how can we determine the speed? m/s
(c) Find the total displacement of the officer as he overtakes the cab driver (in m).
Recall that the officer starts from rest and that his acceleration is constant. Knowing the acceleration of the officer and the time it takes catch the car, you should be able to identify a kinematic equation that will allow you to determine the displacement of the officer
during this process. m
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