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Which of the path (I) or (II) of a proje...

Which of the path (I) or (II) of a projectile has more time of flight ? Use necessary assumptions.

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Given `H_1 = H_2`.
`((u_y)_1^2)/(2 g) = ((u_y)_2^2)/(2 g) rArr (u_1^2 sin^2 theta_1)/( 2 g) = (u_2^2 sin^2 theta_2)/(2 g)`
`rArr u_1 sin theta_1 = u_2 sin theta_2 Or (u_y)_1 =(u_y)_2`
We know `T_1 = (2(u_y)_1)/(2) = (2(u_y)_2)/(2) = T_2`
Hence, both paths take same time.
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