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Q.

A point mass starts moving in a straight line with constant acceleration. After time t0 the acceleration changes its sign, remaining the same in magnitude. Determine the time T from the beginning of motion in which the point mass returns to the initial position.

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a

(6.814)t0

b

(3.414)t0

c

(89.414)t0

d

(4.414)t0

answer is B.

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Detailed Solution

If we start time calculations from point $P$ and apply the equation,s=ut+12at2 -12at02=+at0t+12(-a)t2 Solving we get, t=(2+1)t0 =2.414t0  Total time, T=t+t0 =(3.414)t0
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