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A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, the maximum height the balls can reach is

Asked in JEE Main 29th July 2nd Shift 2022 · Two bodies under gravity

• (1) g/2n
• (2) g/n
• (3) 2gn
• (4) g/2n²

Step-by-step solution

Why the other options are wrong

• (1) Forgets to square the speed: uses H = u/2 instead of u²/2g.
• (2) Reports the launch speed u = g/n instead of the height.
• (3) No single slip gives 2gn; it does not even have the dimensions of length.

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