Solve
-A Person at the Top of a 600 Foot $h = - 16 t ^ { 2 } + 600$

Multiple Choice

Solve.
-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 348 feet from the ground, drops a white ball $3.5$ seconds after the yellow ball was dropped. The height of the white ball is given by the equation $h = - 16 ( t - 3.5 ) ^ { 2 } + 348$ 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) $3 \mathrm { sec } ; 456 \mathrm { ft }$
B) $4 \mathrm { sec } ; 344 \mathrm { ft }$
C) $3.5 \mathrm { sec } ; 404 \mathrm { ft }$
D) $4.5 \mathrm { sec } ; 276 \mathrm { ft }$