Consider a projectile launched at a height h feet above the ground and at an angle 6 with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations X = t(v0 cos(6)) and y = h + (1/0 sin 6)t - 16t2. A rectangular equation for the path of this projectile is y = 9 + X 0.008x2. (a) Eliminating the parameter t from the position function for the motion of a projectile to shows that the rectangular equation is as follows. _ 2 y = m)? + tan(e)x + h 2 V0 (b) Find b, 1/0, and 6. (Round your answers to two decimal places.) it = l V0 =l l 6 = l (c) Use a graphing utility to graph the rectangular equation for the path of the projectile. Confirm your answer in part (b) by sketching the curve represented by the parametric equations. 50 60 40 50 4O 30 30 20 20 10 10 O 50 1 00 150 O 20 4O 60 80 (d) Use a graphing utility to approximate the maximum height of the projectile. (Round your answers to two decimal places.) l ft What is the approximate range of the projectile? l Ft