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A particle moves in a straight line with...

A particle moves in a straight line with constant acceleration a. The displacements of particle from origin in times `t_1, t_2 and t_3 are s_1,s_2 and s_3` respectively. If times are in AP with common difference d and displacements are in GP, then prove that `a=((sqrt(s_1) - sqrt(s_3))^2)/d^2`

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