Solve the variation problem.
-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 156.8 meters in 4 seconds. Find the distance the object falls in 5 seconds.
A)20 meters
B)196 meters
C)49 meters
D)245 meters

Question

Quizplus · Accepted Answer

The distance fallen is directly proportional to the square of the time, so we use the formula $ d = kt^2 $. Given that $ d = 156.8 $ meters when $ t = 4 $ seconds, we can find $ k $ by solving $ 156.8 = k \times 4^2 $, which gives $ k = 9.8 $. For $ t = 5 $ seconds, $ d = 9.8 \times 5^2 = 245 $ meters.

Solve the Variation Problem