For the following exercises, use a graphing utility to graph the given parametric equations.

a.

b.

c.

An object is thrown in the air with vertical velocity of 20 ft/s and horizontal velocity of 15 ft/s. The object’s height can be described by the equation y(t) = − 16t²  + 20t, while the object moves horizontally with constant velocity 15 ft/s. Write parametric equations for the object’s position, and then eliminate time to write height as a function of horizontal position.

[x(t)= cost-1 y(t) = sin t+t