A car and a motorcycle is racing from rest. The motorcycle first takes the lead because its constant acceleration am = 8.40 m/s2 is greater than the car's constant acceleration ac = 5.60 m/s2, but it soon loses to the car because it reaches its greatest speed vm = 58.8 m/s before the car reaches its greatest speed vc = 106 m/s. (20=7+5+8 points)
a. How long does the car take to reach the motorcycle?
b. How far have the motorcycle and car travelled from the initial point, when the car catches the motorcycle?
c. Draw the graph of position versus time for both car and motorcycle for 0 < t < 20 s.