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A ball is released from a height h. If t₁ and t₂ be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between t₁ and t₂.

Asked in JEE Main 29th July 2nd Shift 2022 · Free fall from rest

• (1) t₁ = (√2)t₂
• (2) t₁ = (√2 - 1)t₂
• (3) t₂ = (√2 + 1)t₁
• (4) t₂ = (√2 - 1)t₁

Step-by-step solution

Why the other options are wrong

• (1) Uses √2 t₂ for the total time instead of √2 t₁.
• (2) Swaps t₁ and t₂.
• (3) Makes the second half take longer than the first; it takes less because the ball is already moving.

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