Question

D-3.
A body has maximum range R, when projected up the plane. The same body when projected down the
inclined plane, it has maximum range R . Find the maximum horizontal range. Assume equal speed of
projection in each case and the body is projected onto the inclined plane in the line of the greatest slope.​

Answer 1

Answer:

A body has maximum range R1 when projected up the inclined plane. The same body when projected down the inclined plane, it has maximum range R2.

Explanation:

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Answer 2

Explanation:

Let θ0 be the angle of inclined plane with horizontal. Then for upward projection,

Rmax=g(1+sinθ0)u2=R1  ..(i)

For downward projection,

Rmax=g(1−sinθ0)u2=R2  ..(i)

For a projection on horizontal surface, we have

Rmax=gu2=R(say)           ...(iii)

To establish a relation between R,R1, and R2, we need to eliminate θ0. From (i) and (ii), we get

R2=R11+R21⇒R=R1+R22R1R2