A particle undergoes uniform circular motion on a horizontal xy plane. At time t = 0, it moves through coordinates (3.0 m, 0) with velocity . At t = 5.0 s, it moves through (11.0 m, 0) with velocity . What is its acceleration at t = 2.5 s?
The motion of the particle is shown in the following figure:
Magnitude of acceleration,
at t = 2.5 s, the particle has completed one-fourth of its period and its velocity is parallel to x-axis. Since the centripetal acceleration is directed towards to the centre,
We get