Question

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 288 feet in 3
seconds. Find the distance the object falls in 4 seconds

Answer 1

After 4 seconds, the object will have fallen 512 feet.

Explanation:

Given that 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, to determine, if an object falls 288 feet in 3

seconds, the distance the object falls in 4 seconds, the following calculation must be performed:

288/3 ^ 2 = X

288/9 = X

32 = X

X / 4 ^ 2 = 32

X / 16 = 32

X = 32 x 16

X = 512

Thus, after 4 seconds, the object will have fallen 512 feet.