Train P passes through a station at a constant speed of and thereafter continues to…
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Train P passes through a station at a constant speed of 10m s−1 and thereafter continues to accelerate uniformly at 0.5m s−2 along a straight track. Thirty seconds after P passes the station, train Q starts from rest at the same station and moves along the same track with a uniform acceleration of 1m s−2.
(i) Derive, with appropriate equations, the expression that gives the time t (measured from the instant Q starts) at which Q catches up with P.
(ii) Using the derived expression, calculate the numerical value of t.
(iii) Find the distance from the station where the catch-up occurs.
(iv) Determine the speeds of both trains at that instant.