An elevator moving up and a bolt falling down

[chaotixmonjuish]

A bolt comes loose from the bottom of an elevator that is moving upward at a speed of 6.38 m/s. The bolt reaches the bottom of the elevator shaft in 3.85 s. How high up was the elevator when the bolt came loose?

I integrated 6.38 to get the position equation and plugged in 3.85. However, I'm not really sue that's right at all. Could someone show me what type of equation I should be using?

 

[chaotixmonjuish]

Should I get the height of the elevator at 3.85 seconds. Then use 9.8m/s and create a position equation for the falling bolt.

 

[unique_pavadrin]

firstly you have posted this in the wrong forum

here are some hints which maybe able to help you

$$s = ut + \frac{1}{2}at^2$$

the velocity of the elevator is acting in the opposite direction to gravity, therefore it is a negative velocity in respect to gravity so gravity will be 9.8m/s/s and the elevator velocity will be -6.8m/s

you have the value of t so use the equation above, where s is the displacement, i.e., how high up the elevator was in the shaft