From the intersection of the two curves, read the time at which the trooper overtakes the car.   s

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A car traveling at a constant speed of 34.5 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 2.50 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.

   
   


From the intersection of the two curves, read the time at which the trooper overtakes the car. 
 s

 

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