Answer to Question #15808 in Mechanics | Relativity for John
A world-class sprinter can burst out of the blocks to essentially top speed (of about ) 11.0 m/s in the first 10.9 m of the race. What is the average acceleration of this sprinter in m/s2 ?
Let's find the time needed a sprinter to reach his top speed. We know that
V = at ==> a = V/t
D = at²/2 = Vt/2 ==> t = 2D/V.
a = V/(2D/V) = v²/(2D) = (11.0[m/s])²/(2*10.9[m]) ≈ 5.55 m/s².
So, the average acceleration of this sprinter is about 5.55 m/s².