Question

The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall?

80 feet
160 feet
400 feet
6,400 feet

Answer 1

We can use the given formula to find the distance fallen by the bungee jumper:

t = √(d / 16)

We are told that the time t is 5 seconds, so we can substitute that into the formula:

5 = √(d / 16)

Squaring both sides, we get:

25 = d / 16

Multiplying both sides by 16, we get:

400 = d

So the answer is that the bungee jumper falls d = 400 feet.

Therefore, the correct answer is 400 feet.