A spelunker drops a stone from rest into a hole. The speed of sound is 343 m/s in air, and the sound of the stone striking the bottom is heard 1.50s after the stone is dropped. How deep is the hole?

Question

how can i use the speed of sound to solve this problem?Please give me some hints!
Thanks a lot!

Answer 1

The time required to hear the impact is the sum of the time for the stone to fall and the time for the sound wave to reach the top of the hole.

If the hole depth is X,

1.50 seconds = sqrt (2X/g) + X/v

where v is the speed of sound and g is the acceleration of gravity.

Solve for X

Answer 2

10.6m

Answer 3

On a spacecraft, two engines are turned on for 732 s at a moment when the velocity of the craft has x and y components of velocity v0x = 4865 m/s and v0y = 5435 m/s. While the engines are firing, the craft undergoes a displacement that has components of x = 4.12 106 m and y = 7.44 106 m. Find the x and y components of the craft's acceleration.
ax = m/s2
ay = m/s2