A stone is launched upward at 45° with speed v₀. A bee follows the trajectory of the stone at a constant speed equal to the initial speed of the stone. Find the radius of curvature at the top point of the trajectory.
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Question

A stone is launched upward at 45° with speed v₀. A bee follows the trajectory of the stone at a constant speed equal to the initial speed of the stone. Find the radius of curvature at the top point of the trajectory.

Options

G1 Physics · Accepted Answer

At the top of the projectile, the stone speed is v₀cos45°=v₀/√2. Gravity is entirely normal to the trajectory there, so ρ=v²/g=v₀²/(2g). Hence option D.