Solve.
-The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls $88.2$ meters in 3 seconds. Find the distance the object falls in 5 seconds.
A) 245 meters
B) 147 meters
C) 15 meters
D) 49 meters

Question

Quizplus · Accepted Answer

The distance $d$ an object falls due to gravity is given by the formula $d = k \cdot t^2$, where $k$ is a constant and $t$ is the time in seconds. Given $d = 88.2$ meters when $t = 3$ seconds, we can find $k$ by rearranging the formula to $k = d / t^2$, so $k = 88.2 / 3^2 = 88.2 / 9$. To find the distance the object falls in 5 seconds, substitute $t = 5$ into the original formula with the found value of $k$, resulting in $d = k \cdot 5^2$, which calculates to a distance of 245 meters.

Solve -The Distance That an Object Falls When It Is 88.288.288.2

Solve
-The Distance That an Object Falls When It Is $88.2$