Solve the problem.
-A ball is dropped from a cliff that is 256 feet high. The distance $S$ (in feet) that it falls in $t$ seconds is given by the formula $S = 16 t ^ { 2 }$. How many seconds (to tenths) will it take for the ball to hit the ground?
A) $4 \mathrm { sec }$
B) $4096 \mathrm { sec }$
C) $16 \mathrm { sec }$
D) $15.5 \mathrm { sec }$

Question

Quizplus · Accepted Answer

To find the time it takes for the ball to hit the ground, we set $S = 256$ feet and solve for $t$ in the equation $S = 16t^2$. Substituting $S = 256$, we get $256 = 16t^2$. Dividing both sides by 16, we get $t^2 = 16$. Taking the square root of both sides gives $t = 4$ seconds.

Solve the Problem SSS (In Feet) That It Falls In ttt Seconds Is Given by the Formula

Solve the Problem $S$ (In Feet) That It Falls In $t$ Seconds Is Given by the Formula