Back to 10.7 Parametric Equations: Graphs

10.7 Exercise 71

Avg difficulty 2.5

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 )=−16 t 2 +20t y \left(t\right) = - 16 t^{2} + 20 t, 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 71

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.