Projectile Motion Problem & Solution

Problem

A student sits atop a platform a distance h above the ground. He throws a large object horizontally with a speed u. A wind blowing parallel to the ground gives the object a constant horizontal acceleration with magnitude a. This results in the object reaching the ground directly under the student. Determine the height h in terms of u, a and g. Ignore the effect of air resistance on the vertical motion.

Solution

For vertical motion,

............*

For horizontal motion,

or ..............#

Putting from * in #,

or .