A stone is projected at an angle `alpha` to the horizontal from the top of a tower of height 3h If the stone reaches a maximum height h above the tower, then calculate the distance from the foot of the tower where particle strikes the foot of the where particle strikes the ground.

Options

A. `6h tan alpha`
B. `6h cot alpha`
C. `h tan alpha`
D. `h cot alpha`

Answer

B

Explanation

`(u^(2) sin^(2) alpha)/(2g) = h`
`s = ut + (1)/(2) at^(2)`
`- 3h = sqrt(2 gh) T + (1)/(2) (-g) T^(2)`
Range `= (u cos alpha) T`