PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
For motion under constant acceleration, the velocity of a body varies linearly with time.
(i) Starting from the equations of uniformly accelerated motion, show that the average velocity of the body during a time interval t1 to t2 equals its instantaneous velocity at the mid-point 2t1+t2.
(ii) Explain physically why this result does not, in general, hold for motion with variable acceleration.