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Velocity at a general point P(x, y) for ...

Velocity at a general point P(x, y) for a horizontal projectile motion is given by
`v=sqrt((v_("x")^(2)+v_("y")"^(2))),tan alpha=(v_(y))/(v_(x))`
`alpha`is angle made by v with horizontal in clockwise direction Trajectory equation for a horizontal projectile motion is given by `x=v_(x)t=ut`
y=-`(1//2)"gt"^(2)`
eliminating t, we get `y=-(1//2)(gx^(2))/(u^(2)`
A ball rolls off top of a stair way with a horizontal velocity u m//s. If the steps are h m high and b meters wide, the ball will just hit the edge of nth step if `n^(th) equals to

A

`(hu^(2))/(gb^(2))`

B

`(u^(2)g)/(gb^(2))`

C

`(2hu^(2))/(gb^(2)`

D

`(2u^(2))/(hb^(2))`

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