A ball is thrown downward from a window in a tall building. Its position at time t in seconds is $$\mathrm { s } ( \mathrm { t } ) = 16 \mathrm { t } ^ { 2 } + 32 \mathrm { t }$$ where s(t) is in feet. How long (to the nearest tenth) will it take the ball to fall 106 feet?
A) 1.6 sec
B) 2.6 sec
C) 1.8 sec
D) 3.2 sec

Question

Quizplus · Accepted Answer

To find the time it takes for the ball to fall 106 feet, we need to solve the equation s(t) = 106.16t^2 + 32t = 10616t^2 + 32t - 106 = 0(4t - 13)(4t + 8) = 0t = 13/4 or t = -8/4Since time cannot be negative, we discard the negative solution. Therefore, it will take the ball 13/4 seconds, or approximately 1.8 seconds, to fall 106 feet.

A Ball Is Thrown Downward from a Window in a Tall