A car traveling at a constant speed of 26.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.70 m/s2. How long does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. On the same graph, plot position versus time for the car and the trooper. x(m) x (m) 800 500 600 400 car 300 car 400 200 200 trooper 100 trooper t (s) 20 t(s) 20 10 15 10 15 x (m) x (m) 400t 800 300 600 trooper trooper 200 400 car 100 200 car t (s) 20 t(s) 20 10 15 10 15 From the intersection of the two curves, read the time at which the trooper overtakes the car.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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A car traveling at a constant speed of 26.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with
a constant acceleration of 3.70 m/s2. How long does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. On the same graph, plot position
versus time for the car and the trooper.
x(m)
x (m)
800
500
600
400
car
300
car
400
200
200
trooper
100
trooper
t (s)
20
t(s)
20
10
15
10
15
x (m)
x (m)
400t
800
300
600
trooper
trooper
200
400
car
100
200
car
t (s)
20
t(s)
20
10
15
10
15
From the intersection of the two curves, read the time at which the trooper overtakes the car.
Transcribed Image Text:A car traveling at a constant speed of 26.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.70 m/s2. How long does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. On the same graph, plot position versus time for the car and the trooper. x(m) x (m) 800 500 600 400 car 300 car 400 200 200 trooper 100 trooper t (s) 20 t(s) 20 10 15 10 15 x (m) x (m) 400t 800 300 600 trooper trooper 200 400 car 100 200 car t (s) 20 t(s) 20 10 15 10 15 From the intersection of the two curves, read the time at which the trooper overtakes the car.
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