A particle is projected at an angle θ with an inclined plane making an angle β with the horizontal, with speed u. Resolve x along the incline and y perpendicular to the incline. Find the y-component of velocity when the particle is at maximum distance from the incline plane.
Options

Question

A particle is projected at an angle θ with an inclined plane making an angle β with the horizontal, with speed u. Resolve x along the incline and y perpendicular to the incline. Find the y-component of velocity when the particle is at maximum distance from the incline plane.

Options

G1 Physics · Accepted Answer

The perpendicular distance from the incline is the y-coordinate. At its maximum value, dy/dt = 0. But dy/dt = vᵧ, so the perpendicular velocity component must be zero. Hence vᵧ = 0, option A.