show that height h obtained by a ball thrown in upward direction is directly proportional to square of the time taken to reach the top
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Answer:
Initial velocity of the object is u.
Acceleration due to gravity acting on the object is a=−g
At maximum height (h) attained, velocity of the object is zero i.e. v=0
Using v
2
−u
2
=2ah
Or 0−u
2
=2(−g)h
⟹ h=
2g
u
2
Thus we get h∝u
2
So, maximum height attained is directly proportional to the square of the initial velocity.
Hence the reason statement is correct but the assertion statement is incorrect.
Explanation:
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