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NEET UG PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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A ball is thrown vertically upwards. It was observed at a height h twice with a time interval Δ\Deltat. The initial velocity of the ball is
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Correct option: C
128gh+g2(Δt)2\frac{1}{2}\sqrt {8\mathrm{g}h + {\mathrm{g}^2}{{\left( {\Delta t} \right)}^2}}
Option C (128gh+g2(Δt)2\frac{1}{2}\sqrt {8\mathrm{g}h + {\mathrm{g}^2}{{\left( {\Delta t} \right)}^2}}) is correct because it is derived from the equations of motion, considering the time interval between the ball passing the height h twice.

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