A ball rolls off the top of stair way with a horizontal velocity of magnitude 1.8 m/s. The steps are 0.2 m high and 0.2 m wide. Which step will the ball hit first?
A
First
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B
Second
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C
Third
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D
Fourth
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Solution
The correct option is DFourth Let the ball strike the nth step of stairs. ∴Vertical distance travelled =ny=n×0.2=12gt2 Horizontal distance travelled=nx=ut ⇒t=nxu ny=12gt2=12g(nxu)2=12gn2x2u2 ⇒n=2u2ygx2=2×1.82×0.29.8×0.22≈3.3 So, Fourth step.