Rock dropped off cliff, sound heard 3.4 seconds later

[DrZoidberg421]

I just started physics about a week ago. We got this problem for extra credit, and I need help with it.

A rock is dropped off of a cliff and the sound of splashing water is heard 3.4 seconds later. The speed of sound is 340 m/s. How high is the cliff?

Any insight/help you could give me would be great.

Thanks

 

[Tide]

The height of the cliff is

$$h = \frac {1}{2} g t_1^2$$

But h is also given by

$$h = c_s (3.4 s - t_1)$$

where $c_s$ is the speed of sound. Can you take it from there?

 

[DrZoidberg421]

Yeah, thanks a lot