Solve the problem.
-A person at the top of a 600 foot tall building drops a yellow ball. The height of the yellow ball is given by the equation h = -16t² + 600 where h is measured in feet and t is the number of seconds since the yellow ball was
Dropped. A second person, in the same building but on a lower floor that is 408 feet from the ground, drops a
White ball 2 seconds after the yellow ball was dropped. The height of the white ball is given by the equation
H = -16(t - 2) ² + 408 where h is measured in feet and t is the number of seconds since the yellow ball was
Dropped. Find the time that the balls are the same distance above the ground and find this distance.

Question

Quizplus · Accepted Answer

To find when the balls are at the same height, set the two equations equal to each other and solve for t: -16t^2 + 600 = -16(t - 2)^2 + 408. Simplifying and solving this equation gives t = 4 seconds. Plugging t = 4 into either equation gives the height as 344 feet.

Solve the Problem. -A Person at the Top of a 600 Foot Tall