Round your answer to the nearest tenth, when appropriate.

-A ball is thrown downward from a window in a tall building. Its position at time $t$ in seconds is given by $h(t)=16 t^{2}+32 t$, where $s$ is in feet. How long will it take the ball to fall 94 feet?
A) $1.4 \mathrm{sec}$
B) $1.6 \mathrm{sec}$
C) $2.6 \mathrm{sec}$
D) $2.4 \mathrm{sec}$

Question

Round your answer to the nearest tenth, when appropriate.

-A ball is thrown downward from a window in a tall building. Its position at time $t$ in seconds is given by $h(t)=16 t^{2}+32 t$, where $s$ is in feet. How long will it take the ball to fall 94 feet?
A) $1.4 \mathrm{sec}$
B) $1.6 \mathrm{sec}$
C) $2.6 \mathrm{sec}$
D) $2.4 \mathrm{sec}$

Quizplus · Accepted Answer

To find the time it takes for the ball to fall 94 feet, we set $h(t) = 94$ and solve for $t$. Substituting into the equation gives $16t^2 + 32t = 94$. Rearranging, we get $16t^2 + 32t - 94 = 0$. Using the quadratic formula, $t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 16$, $b = 32$, and $c = -94$, we find the positive root that makes physical sense for time. Solving gives $t \approx 1.6$ seconds.

Round Your Answer to the Nearest Tenth, When Appropriate ttt In Seconds Is Given By

Round Your Answer to the Nearest Tenth, When Appropriate $t$ In Seconds Is Given By