PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Two athletes, P and Q, start a race together on a straight track. Athlete P runs with a constant speed of 8 m/s throughout, while athlete Q starts from rest and runs with a constant acceleration of 0.5 m/s2. Determine the minimum length of the race such that both runners finish at the same time (so that Q wins or ties with P), and also calculate the maximum distance by which P is ahead of Q at any instant during the race.