A particle moves in a straight line with a constant acceleration for a time interval
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A particle moves in a straight line with a constant acceleration a for a time interval t, starting with an initial velocity u.
(i) Define uniform acceleration.
(ii) Draw a qualitative velocity–time graph for the motion and, using the geometrical interpretation of the graph, show that the displacement s of the particle in time t is given by s=ut+21at2. State clearly any assumptions made during the derivation.