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A particle moves from rest in a straight...

A particle moves from rest in a straight line with alternate acceleration and retardation of mahnitudes `f` and `f'` during equal intervals of time `t`. At the end of `2n` such intervals prove that the space it has described is
`(n t^(2))/(2) [(2n + 1) f - (2 n - 1)f']`

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The correct Answer is:
`[n t^(2){a + (1)/(2)(a-a')(2n-1)}]`
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