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Home > PC3 > Chapter 13 > Lesson 13.2.2 > Problem 13-79


A ball is thrown off of a roof with a velocity of ft/s at an angle of with the horizontal. It is released from a height of ft above the ground.

  1. Write a set of parametric equations to model the position of the ball in relationship to its starting position at any time seconds after it was thrown.

    An object that is launched with an initial position of  and an initial velocity of  and an angle of  will travel along a path defined by the parametric function: 

    where  and  are measured in feet and  is measured in seconds.

  2. How far does the ball travel horizontally before it hits the ground?

    The ball hits the ground when . Solve that equation first.
    Then compute using the time at which the ball hit the ground.