Solve the Problem $$h = - 16 t ^ { 2 } + 600$$

question 87

Multiple Choice

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 $$h = - 16 t ^ { 2 } + 600$$ 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 3 seconds after the yellow ball was dropped. The height of the white ball is given by the equation $$h = - 16 ( t - 3 ) ^ { 2 } + 408$$ 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.

• A) 2.5 sec; 500 ft
• B) 3.5 sec; 404 ft
• C) 3 sec; 456 ft
• D) 4 sec; 344 ft

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