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# A ball rolls down an inclined plane with an acceleration of 2ft/sec^2 What initial velocity must be given for the ball to roll 100ft in 5sec?

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- MyRankLv 62 months ago
Given,

Acceleration (a) = 2ft/sec²

Initial velocity (u) = ?

Distance (d) = 100ft

Time (t) = 5sec

Using kinematic relation:-

Distance (d) = ut + ½at²

100ft = u x 5 + ½ x 2ft/sec² x (5sec)²

100ft = (5u)sec + 25ft

(5u)sec = (100-25)ft

Initial velocity (u) = (75/5)ft/sec = 15ft/sec

∴ Initial velocity (u) = 15ft/sec.

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- oubaasLv 72 months ago
100 = Vo*t+a/2*t^2

100 = Vo*5+2/2*5^2

75 = Vo*5

Vo = 75/5 = 15 ft/sec

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