Show that the horizontal and vertical displacements, x, y, of a projectile at time t are x and y, respectively, where

where u and v are the initial horizontal and vertical velocities and g is the acceleration due to gravity. Show that its trajectory is a parabola, and that it attains a maximum height v²/2g and range 2uv/g.

Transcribed Image Text:

x = ut and y = vt - gt 2