Thread: Ralated rates

A stone is dropped into a deep, dark mine. A clunk is heard 7 seconds later. Estimate the depth of the shaft in feet. Ignore air resistance. Take the speed of sound as 1000 feet/second.

Velocity of sound= 1000 ft/sec
d = 16t^2

can anyone help me to solve this question?
Thank you.

Originally Posted by btwest69

A stone is dropped into a deep, dark mine. A clunk is heard 7 seconds later. Estimate the depth of the shaft in feet. Ignore air resistance. Take the speed of sound as 1000 feet/second.

Velocity of sound= 1000 ft/sec
d = 16t^2

can anyone help me to solve this question?
Thank you.

see here

it is a very similar problem, do you understand it?

Thank you
I get it now, i just need to solve for s.

Originally Posted by btwest69

Thank you
I get it now, i just need to solve for s.

yes.

i hope you really understood what happened and didn't just plug in the relevant numbers into TPH's equation.

could you, for instance, tell me how he came up with the ?

s = 16 t^2

t= (s/16)^1/2

Originally Posted by btwest69

s = 16 t^2

t= (s/16)^1/2

good enough for me.

there is an issue with signs though, but it depends on how you think about the problem. but you're good. good job