A ball is thrown vertically upwards. It returns 6seconds later. The greatest height reached by ball is _______ (taken g = 10ms–2) 1) 90m 2) 70m 3) 20m 4) 45m
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Explanation:
A ball is thrown vertically upwards and it returns 6 second later.
So time of flight = 6s time it took to reach maximum height =
6/2 = 3s
acceleration = -10 m/s^2 (downward is negative)
let initial velocity= u final velocity at top, v = 0
we know that v = u + at
=> 0u - 10×3
=> 0 = u - 30
=> u = 30 m/s
Vol 84
Let the highest point reached = h meter
hu^2/2g = 30^2 / (2×10) = 45 meter
Greatest height reached = 45m initial velocity= = 30 m/s
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