First slide

Projection Under uniform Acceleration

Question

A tennis ball rolls of the top of a stair case way with a horizontal velocity u m/s. If the steps are b metre wide and h metre high, the ball will hit the edge of the n^th step, if

Easy

A

$n = \frac{2 hu}{{gb}^{2}}$
B

$n = \frac{2 {hu}^{2}}{{gb}^{2}}$
C

$n = \frac{2 {hu}^{2}}{gb}$
D

$n = \frac{{hu}^{2}}{{gb}^{2}}$

Solution

$\begin{array}{l} R = u \times t \Rightarrow n \times b = u \times \sqrt{\frac{2 \times nh}{g}} \\ \Rightarrow n^{2} \times b^{2} = u^{2} \times \frac{2 \times nh}{g} \\ \Rightarrow n = \frac{2 u^{2} h}{b^{2} g} \end{array}$

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