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A particle moving in a straight line is ...

A particle moving in a straight line is acted by a force, which works at a constant rate and changes its velocity from u to v in passing over a distance x. The time taken will be -

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A particle moving in a straight line is acted upon by a force which works at a constant rate and changes its velocity from (u and v ) over a distance x. Prove that the taken in it is 3/2 (u+v)x/(u^(2)+v^(2)+uv) .

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