A man is sitting on the shore of a river. He is in

Question

A man is sitting on the shore of a river. He is in the line of a 1.0 m long and is 5.5 m away from the centre of the boat. He wishes to throw an apple into the boat. If he can throw the apple only with a speed of 10 m/s, find the minimum and maximum angles of projection for successful shot. Assume that the point of projection and the edge of the boat are in the same horizontal level.

Jitender Pal · Accepted Answer

Sol. When the apple just touches the end B of the boat.x = 5 m, u = 10 m/s, g = 10 m/s2, θ = ?x = (u^2sin⁡〖2 θ〗)/10⇒ 5 = (〖10〗^2sin⁡〖2 θ〗)/10⇒ 5 = 10 sin 2 θ⇒ sin 2 θ = 1/2 ⇒ sin 30° or sin 150°⇒ θ = 15° or 75°Similarly for end C, x = 6 mThen 2 θ1 = sin–1 (gx/u2) = sin–1 (0.6) = 182° or 71°.So, for a successful shot, θ may very from 15° to 18° or 71° to 75°.

Mechanics> A man is sitting on the shore of a river....

Hrishant Goswami , 10 Years ago

Jitender Pal

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Mechanics> A man is sitting on the shore of a river....

Hrishant Goswami , 10 Years ago

Jitender Pal

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