The distance (in feet)that an object will fall in t seconds is given by the formula $s = 16 t ^ { 2 }$ . How long will it take an object to fall 576 feet?
A)6 sec
B)36 sec
C)8 sec
D)7 sec
E)35 sec

Question

Quizplus · Accepted Answer

To find the time $t$ it takes for an object to fall 576 feet, we can use the given formula $s = 16t^2$. Substituting 576 for $s$, we get $576 = 16t^2$. Solving for $t$, we divide both sides by 16 to get $t^2 = 36$, and taking the square root of both sides gives $t = 6$. Therefore, it takes 6 seconds for the object to fall 576 feet.

The Distance (In Feet)that an Object Will Fall in T s=16t2s = 16 t ^ { 2 }s=16t2

The Distance (In Feet)that an Object Will Fall in T $s = 16 t ^ { 2 }$