Usain Bolt accelerates to...

Question

Usain Bolt accelerates to 5 m/s^2 for 13 seconds before winning the race. Calculate the distance he covered. (Express your answer in 4 decimal places)

Answer 1

a = acceleration = 5 m^s^2

v= velocity = integral of a =5t m^s

d = distance = integral of v = (5/2)t^2 = (5/2)13^2 = (5/2)169 = 422,5 meters^2

d = 422.5 meters = 422.5000 if you want 4 decimal places

general formula is d(t) = (a/2)t^2 + vot + do

where a = acceleration, vo = initial velocity do= initial distance

a= 5, vo =0, do = 0