Solve.
-The distance that an object falls when it is dropped varies directly as the square of the amount of time that has passed since it was dropped. An object falls 128 feet in 2 seconds. Find the distance the object falls in 5 seconds.
A)10 feet
B)320 feet
C)160 feet
D)800 feet

Question

Quizplus · Accepted Answer

The distance an object falls due to gravity is given by the formula $d = k \cdot t^2$, where $d$ is the distance, $t$ is the time, and $k$ is a constant. Given that the object falls 128 feet in 2 seconds, we can find $k$ by substituting $d = 128$ and $t = 2$: $128 = k \cdot 2^2$, so $k = 32$. To find the distance the object falls in 5 seconds, substitute $t = 5$ into the formula: $d = 32 \cdot 5^2 = 32 \cdot 25 = 800$ feet.

Solve. -The Distance That an Object Falls When It Is Dropped