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A staircase contains three steps is 10 cm and 20 cm wide what should be the minimum horizontal velocity of a ball rolling of the uppermost plane so as to be directly the lower brain
o hit directly the lowest plane the ball has to cross the point B.From A to B, the ball has to travel to horizontal distance equal 40cm =40mand vertical distance of 20cm=0.2m.Let the time taken to reach point be t.u=0 m/sh=0.2mfrom the equation, h=ut+1/2gt²we get0.2=0+1/2 x9.8 t²t²=0.4/9.8t²=0.04t=0.2Let v be the horizontal velocity of ball than the horizontal distance travelled by the ball=0.2vin order to clear the point B it must be equal to 0.40.2v=0.4v=2m/s∴So minimum velocity required to to hit the lowest floor is 2 m/s.
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