In physics, the time t (in seconds) it takes for a dropped object fall d feet is given by the formula t = √d/16. If an object falls for 8 seconds, what distance did it fall?

Question

In physics, the time t (in seconds) it takes for a dropped object fall d feet is given by the formula t = √d/16. If an object falls for 8 seconds, what distance did it fall?

Answer 1

t = √(d/16)

Solve for d. First square both sides:

t² = d/16

Next, multiply both sides by 16:

16t² = d

Last plug in t = 8 and compute the value of d. The units will be feet.

Answer 2

Hi Jayden!

To solve for d here, we need to isolate it and plug in our given value (t)

t = (D^.5)/16

8 = (D^.5)/16

8 * 16 = D^.5

128 = d^.5

128^2 = d

d = 16384 feet