Solve the Problem $h ( t ) = - 16 t ^ { 2 } + 40 t + 50$

Multiple Choice

Solve the problem.
-Consider the quadratic model $h ( t ) = - 16 t ^ { 2 } + 40 t + 50$ for the height (in feet) , $h$ , of an object $t$ seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

A) maximum height = 75 ft; time to reach ground = 2.5 seconds
B) maximum height = 50 ft; time to reach ground = 1.25 seconds
C) maximum height = 75 ft; time to reach ground = 1.25 seconds
D) maximum height = 50 ft; time to reach ground = 2.5 seconds