EXAMPLE 6 A projectile is fired with muzzle speed 170 m/s and an angle of elevation 45° from a position 30 m above ground level. Where does the projectile hit the ground and with what speed? SOLUTION If we place the origin at ground level, then the initial position of the projectile is (0, 30) and so we need to adjust the parametric equations of the trajectory by adding 30 to the expression for y. With v0 = 170 m/s, α = 45°, and g = 9.8 m/s2, we have