Question

Find the average velocity of a projectile between the instants it crosses half the maximum height. It is projected with a speed $u$ at an angle $q$ with the horizontal.

Answer 1

Let u is the initial velocity of a projectile.

So, the horizontal component of velocity will be $ucosq$

The vertical component is $usinq$

Here the only horizontal component plays role and there is no acceleration working in the horizontal direction.

So the average velocity of a projectile between the instants it crosses half the maximum height is $u\cos q\hat{i}$