7. Path of a Projectile If a projectile is fired with an initial speed of u ft/s at an angle a above the horizontal, then its position after I seconds is given by the parametric equations x = ( cos )! y = ( sin a) - 16r (where x and y are measured in feet). Show that the path of the projectile is a parabola by eliminating the parameter 1. 8. Path of a Projectile Referring to Exercise 37, suppose a gun fires a bullet into the air with an initial speed of 2048 ft/s at an angle of 30 to the horizontal. (a) After how many seconds will the bullet hit the ground? (b) How far from the gun will the bullet hit the ground? (e) What is the maximum height attained by the bullet?