Calculate the Depth of a Well: u, a and Time Given

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AI Thread Summary
To calculate the depth of a well, the time taken for a stone to hit the bottom and the time for the sound to travel back must be considered. The relevant equations include Depth = InitialSpeed*DropTime + 0.5*Acceleration*DropTime² and SpeedOfSound = Depth/EchoTime. The total time is the sum of the drop time and the echo time. One participant calculated the depth to be 35.28 meters, but there was uncertainty about its correctness. The discussion highlights the need for clarity in using the equations to solve the problem.
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Homework Statement



How deep is the well remember its takes him 3.8 seconds to hear the stone hit the bottom not 3.8 to see it hit the bottom.
u=0ms^-1
a=10ms^-2


Homework Equations



Not 100% sure what equations to use becuase my teacher goes to quickly

The Attempt at a Solution



Would you be able to show me the equations to use to solve it.
Thanks Nick.
 
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Try these

Depth = InitialSpeed*DropTime + 0.5*Acceleration*DropTime²

SpeedOfSound = Depth/EchoTime

TotalTime = DropTime + EchoTime
 
Thanks mate, I got 35.28m for the depth of the well, is that correct??
 
Dunno mate! I didn't get that far.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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