From the top of a tower, a stone thrown upward reaches the ground in time t₁. A second stone thrown downward with the same speed reaches the ground in time t₂. A third stone released from rest reaches the ground in time t₃. Which relation is correct?
Options

Question

From the top of a tower, a stone thrown upward reaches the ground in time t₁. A second stone thrown downward with the same speed reaches the ground in time t₂. A third stone released from rest reaches the ground in time t₃. Which relation is correct?

Options

G1 Physics · Accepted Answer

Let the common launch-speed magnitude be u. Upward launch time t₁ and downward launch time t₂ satisfy t₁t₂=2H/g. A stone released from rest has t₃=√(2H/g). Hence t₃=√(t₁t₂). Option B.