A body is dropped from height h under acceleration due to gravity g. If t₁ and t₂ are the times taken to fall through the first half and the second half of the distance, respectively, then:
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Question

A body is dropped from height h under acceleration due to gravity g. If t₁ and t₂ are the times taken to fall through the first half and the second half of the distance, respectively, then:

G1 Physics · Accepted Answer

For a drop from rest, total time T=√(2h/g). First half: t₁=√(h/g)=T/√2. Second-half time t₂=T-t₁=T(1-1/√2). Thus t₁/t₂=1/(√2-1)=√2+1≈2.414. Hence option C.