One simple model for a person running the 100m dash is to assume the sprinter runs with constant acceleration until reaching top speed,then maintains that seed through the finish line.if sprinter reaches his top speed of 11.1m/s in 2.54s. What will be his total time?

Answer 1

V = a*t = 11.1 m/s.
a*2.54 = 11.1.
a = 4.37 m/s^2.

d1 = 0.5a*t^2 = 0.5*4.37*2.54^2 = 14.1 m

d2 = V*t = 100-14.1.
11.1*t = 85.9.
t = 7.74 s.

2.54 + 7.74 = 10.3 s. = Total time.