A ball rolls off the top of a stairway with a velocity u. If the height of each step is h, the breadth is b and the ball hits the edge of nth steps, the find the value of n.
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As the horizontal initial velocity is u and there is no force acting on ball in X direction
horizontal distance traveled by ball = nb which implies t=nb/u ........1
vertical initial velocity = 0 and vertical distance traveled is nh
nh = 1/2*g*t² ..................2
replace t from 1 in eq 2.
nh = 1/2*g*(nb/u)² and solve for n
n = 2hu²/gb²
horizontal distance traveled by ball = nb which implies t=nb/u ........1
vertical initial velocity = 0 and vertical distance traveled is nh
nh = 1/2*g*t² ..................2
replace t from 1 in eq 2.
nh = 1/2*g*(nb/u)² and solve for n
n = 2hu²/gb²
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