e moving with a uniform acceleration travels 24 metres and 64 metres in first to successive
of 4 seconds each. Its initial velocity is
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Explanation:
Distance travelled = 24m and 64m
Time = 4 seconds each
Thus,
The first interval of 4s the distance covered is 24m and in next 4s it covers distance of 64 m.
Let a be uniform acceleration and u be initial velocity.
From equation of motion s=ut +(1/2)at², we have for first interval,
24 = 4u+8a or
6 = u+2a ---(1)
For next interval, initial velocity is u+4a.
Therefore,
64=(u+4a)4+8a or
64=4u+24a or
16=u+6a ---(2)
Solving equations (1) and (2),
u=1m/s.
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