Paragraph AB is an inclined roof and a particle is projected from origin towards the roof such that path of the particle will just touch the roof once.Particle will touch roof at t=

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As the angle of projection is 45°, the particle will touch the roof at the point of landing, as it is mentioned that the particle touches the roof just once (so it should be tangent to the path of the particle).

The time of flight $T$ is given by:

$T = \frac{2 u s i n θ}{g}$

$t = 2$

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