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Classical Mechanics Level 5

A particle is projected up an inclined plane of base angle \(\alpha\) with the horizontal with an initial velocity \( V\). The particle collides elastically with the incline and rebounds vertically . If the particle reaches back the point of projection after time
\( \large T = \dfrac {aV}{g \sqrt{1+b\sin^2\alpha}} \), then enter the value of\( a + b\) .

Note: \(g\) denotes the acceleration due to gravity.

Assume the inclined plane is fixed to the ground.


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