﻿ A ball rolls off the top of a staircase with horizontal velocity u. If the height of the step is h and the width is b then at what step the ball hits? from Physics Motion in A Plane Class 11 Manipur Board

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A ball rolls off the top of a staircase with horizontal velocity u. If the height of the step is h and the width is b then at what step the ball hits?

Horizontal velocity = u

Height of the step = h

Let the ball hit the nth step.

Therefore the ball transverses a horizontal distance of nb and falls vertically by nh.

Equation of trajectory of horizontal projectile,

Substituting y = nh and x = nb, we get,

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