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 512 feet in 4 seconds. Find the distance the object falls in 5 seconds.
A) $20 \mathrm { feet }$
B) 640 fet
C) 160 feet
D) 800 feet

Question

Quizplus · Accepted Answer

The distance fallen is proportional to the square of the time, so $ d = kt^2 $. Given $ d = 512 $ when $ t = 4 $, we find $ k = \frac{512}{4^2} = 32 $. For $ t = 5 $, $ d = 32 \times 5^2 = 800 $ feet.

Solve -The Distance That an Object Falls When It Is 20feet20 \mathrm { feet }20feet

Solve
-The Distance That an Object Falls When It Is $20 \mathrm { feet }$