What average power does the sprinter generate during the 1.6 sec interval?

Question

Starting a race, a 68.2 kg sprinter runs the first 7.04m in 1.6 sec. starting from rest and accelerating uniformly. What average power does the sprinter generate during the 1.6 sec interval?

Answer 1

Work done by sprinter: W = E_k = mv²/2; v = 2s/t. So, W = 2ms²/t²_;

Average power P_av = W/t = 2ms²/t³ = 2·68.2kg·7.04²m²/(1.6³s³) = 1650.44 W