for my science class we went over questions like this, I was hoping someone could help me figure this out,and give me the basic equations for problems like these..

A ball is shot into the air with initial speed of 10 m/s at an angle of 53°.
(a) What is the object's speed at the highest point in its trajectory?
b)What is the object's speed just before it strikes the ground?

these questions just takes some common sense. At the highest point, the vertical speed is zero. So all that's left is the horizontal speed, which is constant at

10 cos53°

Due to conservation of momentum, the speed at impact is exactly the same as the speed at takeoff.

Note that I am not referring to velocity, which also includes the direction.