Suppose that a sprinter can reach maximum speed by accelerating uniformly for 1.7 seconds. What maximum speed must this sprinter maintain in order to equal the world's record of 19.5 seconds for 200 meters?

Answer 1

d = 0.5a*t^2 = 200 m.
0.5a*19.5^2 = 200
190.125a = 200
a = 1.052 m/s^2.

V = a*t = 1.052m/s^2 * 1.7s = 1.788 m/s.