Projectile Motion

Given: A particle of mass is projected from the origin with velocity at an angle with the horizontal.

At the maximum height, the vertical component of velocity becomes zero. The horizontal component remains:

The height at the highest point is:

At this point, the position vector from the origin lies along the - plane, and the velocity vector is horizontal, making a right angle with the vertical component of .
Angular momentum about the origin is:

Here, , so .


Final Answer: Angular momentum is proportional to .