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10.8 Exercise 151

Avg difficulty 2.5

Make a table of values for each set of parametric equations, graph the equations, and include an orientation; then write the Cartesian equation.

A ball is launched with an initial velocity of 80 feet per second at an angle of 40° to the horizontal. The ball is released at a height of 4 feet above the ground.

  1. ⓐ Find the parametric equations to model the path of the ball.
  2. ⓑ Where is the ball after 3 seconds?
  3. ⓒ How long is the ball in the air?

OpenStax Algebra and Trigonometry 2e, 10.8 Vectors, exercise 151

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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.