I have a following problem
A rock is dropped from a sea cliff. After 3.4 s a splash of the rock hitting the ocean is heard. The speed of sound is 340 m/s. How tall is the cliff?
I came to the conclusion that the lenght of the cliff equals the lenght of the distance the sound travels, and that the time the rock travel and the time the sound travels should equal 3.4 seconds, but I don't know whether this is correct and how to write this in symbols.
Can someone please help me?
when the rock is falling down from the top of the cliff it's motion is a uniformly accelerated movement.
- a is the acceleration
- v is the speed
- d is the distance
- t is the time
v = a * t
d = 1/2 * a * tē
With your problem a = 9.81 m/sē. So if you use the length of the cliff = distance of the fall you have to use the formula for d which contains the factor (1/2).