# Mechanics Problem

Assume a monkey lets go of a tree when a tranquiliser is fired. At what angle should the gun be pointed so that the tranquiliser hits the monkey while in free fall?

Neglect size of gun and monkey. Let Xm,Ym = monkey's initial position, Vo=magnitude of tranquilizer's initial velocity. What is the minimum velocity, Vo(in m/s) so that the tranquilizer hits the monkey in free fall if Xm=Ym=10m?

What curve describes the tranquilizer's trajectory?Prove it

Doc Al
Mentor
Hint: What if there were no gravity?

need a better hint!

Doc Al
Mentor

If there were no gravity then the monkey would not experience an accelearation of 9.81 towards the centre of the earth and the bullet would not fall as it flies through the air also.

Think outside the box.

Solved the first part of the problem, i.e angle=45 degrees. I realise that the tranquiliser should be fired at the monkey and not below it as the tranquiliser falls like the monkey but really need help to find the minimum velocity needed.