A Staircase contains three steps each 10 cm high and 20 cm wide. What should be the minimum horizontal velocity of a ball rolling off the uppermost plane so as to hit directly the lowest plane. (in m/s)
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Ans. 2
Sol.
horizontal distance travelled by ball = 3 × 0.2 = 0.6 m.
vertical distance = 3 × 0.1 = 0.3 m.
let velocity along horizontal = v m/s.
velocity along vertical = 0
therefore 0.6 = vt
t = 
and 0.3 = 
gt 2
0.3 = 
g 
⇒ v 2 = 
v 
2.4 m/s.
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