1.

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 A. B. C. D.

Answer» Correct Answer - A
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


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