A car traveling at a constant speed of 35.0 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 2.60 m/s-. 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) 2000 800 1500 600 car trooper 1000 400 500 car trooper 200 O 5 but(s) 10 15 20 25 30 O 5 10 wet (s ) 15 20 25 30 x (m) x (m) 1200 2000 1000 800 1500 car 600 trooper 1000 400 trooper 200 500 car O 5 t (s) 10 15 20 25 30 what (s ) O 5 10 15 20 25 30 From the intersection of the two curves, read the time at which the trooper overtakes the car