Solve the problem.
-A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 187 feet?
A) 3.4 sec
B) 2.6 sec
C) 2.4 sec
D) 6.8 sec

Question

Quizplus · Accepted Answer

To find the time it takes for the ball to fall 187 feet, set s = 187 and solve the equation 16t^2 + 32t = 187. Rearranging gives 16t^2 + 32t - 187 = 0. Using the quadratic formula, t = (-32 ± √(32^2 - 4*16*(-187)))/(2*16). Solving this gives t ≈ 2.6 seconds.

Solve the Problem. -A Ball Is Thrown Downward from a Window in a Window