### The Range Problem

A projectile is launched from ground level at an angle θ with
respect to the horizontal and experiences only a gravitational force.

What is:

- The maximum height?
- The time of flight until impact?
- The range (maximum horizontal distance) at impact?

The known facts:

- x(0) = 0, y(0)=0;
- v
_{x}(0)=v_{o}cos θ and v_{y}(0)=v_{o}sin θ;
- y(t
_{impact}) = 0.

Using these facts in the equations of kinematics, we will answer questions 1. - 3.