Question

A mass m is at rest on a horizontal frictionless surface at t=0. Then a constant force F 0 acts on it for a time t 0. Suddenly the force doubles to 2F 0 and remains constant until t=2t 0. Determine the total distance traveled from t=0 to t=2t 0

Answer 1

distance during F0 ... d = 1/2 a t^2 = 1/2 (F0 / m) t0^2

distance during 2F0 ... d = 1/2 a t^2 + v t = ...
... 1/2 (2F0 / m)(2t0 - t0)^2 + [(F0 / m) t0] (2t0 - t0)