Question

A rock is dropped off of a bridge at 300 feet tall. How long does it take for the rock to hit the water below?

Answer 1

4.32 s (if you were asked to use 32.17 for g)

4.33 s (if you were asked to use 32 for g)

4.318 s (if you were asked to use 32.174 for g)

Explanation:

This is an example of free fall! The free fall equation in terms of distance is as follows:

`s=(1)/(2)gt^2`

Let's rearrange the equation so it's in terms of time.

`t=\sqrt{(2s)/(g) }`

Plugging in
`300ft` for the distance and
`32.17(ft)/(s^2)` for the acceleration due to gravity,

`t=\sqrt{(2(300))/(32.17) }\\t=√(18.65)\\ t=4.32s`

The answer will vary based on what value you use for acceleration due to gravity. If you were asked to use 32, the answer will be 4.33s, if you were given a more specific value, like 32.174, the answer will be 4.318.