A particle is projected up an inclined plane of inclination `beta` at an elevation `prop` to nthe horizontal. Find the ratio between `tan prop and tan beta`, if the particle strikes the plane horizontally.

Answer

`2`

Explanation

(a) `T = (2 u sin(prop - beta))/(g cos beta)`
Now we shall consider the motion of particle along `OA`.
(b) When the particle strikes the plane horizontally
In this case, `t = (2 u sin (prop - beta))/(g cos beta)`
and `0 = u sin prop - "gt"`
`u sin prop = g[(2 u sin (prop - beta))/(g cos beta)]`
`2 tan beta = tan prop rArr tan prop : tan beta = 2`.
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