The ratio of maximum heights reached by two bodies projected vertically upwards is a:b, then the ratio of their initial velocities is?
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Answer: the answer is √a:√b
Explanation:
time to reach maximum height = u²/g ( since max.height = u²/2g. Calculating only the upward direction it is 1/2÷ u²/2g).
t1=a
t2= b
So, t1/t2=a/b
Which is,
t1/t2= u1²/g( u2²/g)
=u1²/u2²
Therefore, u1²/u2²=a/b
And
u1/u2= √a/√b
= √a:√b
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