Answer to Question #166055 in Physics for Banger

Question

A sprinter is jogging at 4.0 m s^-1 and accelerates at 10.0 m s^-2 over 49.0 m. Find the velocity of the sprinter

Answer 1

The distance traveled by the sprinter

$$d=\frac{v_f^2-v_i^2}{2a}$$

Hence, the final velosity of the sprinter

$$v_f=\sqrt{v_i^2+2da}=\sqrt{4.0^2+2*49.0*10.0}=31.6\: \rm m/s$$