A large box is moving on a horizontal floor with constant acceleration a = g . A particle is projected inside the box with velocity u and angle θ with horizontal from box frame. For the given u the value of θ for which horizontal range inside the box will be maximum is

Question

A large box is moving on a horizontal floor with constant acceleration a = g . A particle is projected inside the box with velocity u and angle θ with horizontal from box frame. For the given u the value of θ for which horizontal range inside the box will be maximum is, π 4, π 8, 3 π 8, π 3

MARKS App · Accepted Answer

T = 2 u s i n θ g R = u 2 s i n 2 θ g – 2 u 2 s i n 2 θ g R will be maximum when d R d θ = 0 ⇒ 2 u 2 g cos 2 θ − 2 u 2 g .2 sin θ cos θ = 0 ⇒ 2 cos 2 θ = 4 sin θ cos θ ⇒ cos 2 θ = sin 2 θ ⇒ 2 θ = π 4 ⇒ θ = π 8

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