Question

A projectile is shot at an angle of `pi/12` and a velocity of `52 m/s`. How far away will the projectile land?

Answer 1

The projectile lands `165 m` far.

Explanation:

First of all you have to find the time when the projectile land, so `vt-1/2at^2=0`, so `t=3s`. For this equation you consider the vertical component of speed `v(y)=vsin15°`.
Now you have the time's value and can use it in the orizontal equation `s=vt`, where `v=vcos15°`.
`s=55m/s*3s=165m`.