If a projectile is fired with an initial velocity ofv_{0}meters per second at an angleαabove the horizontal and air resistance is assumed to be negligible, then its position aftertseconds is given by the parametric equations

wheregis the acceleration due to gravity (9.8 m/s^{2}). (Round your answers to the nearest whole number.) (a) If a gun is fired withα= 30° andv_{0}= 900 m/s.

When will the bullet hit the ground?

How far from the gun will it hit the ground?

What is the maximum height reached by the bullet?

(b) Find the equation of the parabolic path by eliminating the parameter.