A bicycle racer sprints at the end of a race to clinch a victory. The racer has an initial velocity of 10.0 m/s and accelerates at the rate of 0.600 m/s2 for 7.00 s.

(a) What is his final velocity?

(b) The racer continues at this velocity to the finish line. If he was 300 m from the finish line when he started to accelerate, how much time did he save?

(c) One other racer was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate and traveled at 10.2 m/s until the finish line. How far ahead of him (in meters and in seconds) did the winner finish?
distance

time

1 answer

a. V = Vo * a*t = 10 + 0.6*7 = 14.2 m/s.

b. T = d/r1 - d/r2 = 300/10-300/14.2 =
8.87 s. Saved.