Question 982545
A point moves in a straight line so that its distance s from the origin at time t is given by the equation s=5+4sin2t + 3cos 2t. prove that

its acceleration varies as its distance from a fixed point in the line of motion
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It doesn't.
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its motion is oscillatory
It is, it's SHM, simple harmonic motion
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the origin is at one extremity of its path
It isn't.