Projectile Motion In Exercises 81 and 82, consider a projectile launched at a height h feet above the ground and at an angle _ with the horizontal. When the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations
A rectangular equation for the path of a projectile is .
(a) Eliminate the parameter I from the position function for the motion of a projectile to show that the rectangular equation is
(b) Use the result of part (a) to find h, . and . Find the parametric equations of the path.
(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.
(d) Use a graphing utility to approximate the maximum height of the projectile and its range.
Projectile Motion In Exercises 81 and 82, consider a projectile launched at a height h feet above the ground and at an angle _ with the horizontal. When the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations
A rectangular equation for the path of a projectile is .
(a) Eliminate the parameter I from the position function for the motion of a projectile to show that the rectangular equation is
(b) Use the result of part (a) to find h, . and . Find the parametric equations of the path.
(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.
(d) Use a graphing utility to approximate the maximum height of the projectile and its range.