Parametric Equations: Graphs · Exercise 63

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 $y\left(t\right)=-16t^2+20t$, 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.

OpenStax, Algebra and Trigonometry 2e · §10.7 Parametric Equations: Graphs · Exercise 63