Acceleration versus time graph of a body in SHM is given by a curve shown below. T is the time period. Then corresponding graph between kinetic energy KE and time t is correctly represented by

Options

A.
B.
C.
D.

Answer

A

Explanation

From the graph, equation of acceleration can be writtern as
`a = - a_(max) cos omegat`
`:.` velocity can be written is
`v = -v_(max) sin omegat`.
`KE = 1/2 mv^(2) = 1/2mv_(max)^(2) sin^(2)omegat`
Hence the graph is as shown in A