# PHYSICS

A rock is dropped from rest into a well. The sound of the splash is heard 2.40 s after the rock is
released from rest. (a) How far below the top of the well is the surface of the water? The speed of sound
in air (at the ambient temperature) is 336 m/s. (3p) (b) What If? If the travel time for the sound is
neglected, what percentage error is introduced when the depth of the well is calculated?

1. 👍
2. 👎
3. 👁
1. Speed of sound, s=336 m/s
depth, x m
initial velocity = 0 =u m/s

total time, T = 2.4 seconds
time to descendm, t= 2.4 - x/s

x=ut+(1/2)gt²
t+x/s=2.4
t+(ut+(1/2)gt²)/s=2.4
Solve for t. I get t=2.32(approx.)
x=ut+(1/2)gt²
=26.4 m (approx.)

For part b, calculate x when t=2.4 and compare with part a.

1. 👍
2. 👎
2. I get 28.2m

1. 👍
2. 👎

## Similar Questions

1. ### physics

A spelunker (cave explorer) 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 3.24 s after the stone is dropped. How deep is the hole?

2. ### irsc

a 10-kg rock and a 20-kg rock are dropped at the same time and experience no significant air resistance. if the 10-kg rock falls with acceleration a, what is the acceleration of the 20-kg rock?

3. ### Physics

A rock is dropped from a sea cliff, and the sound of the of it striking the ocean is heard 3.2s later. If the speed of sound is 340m/s, how high is the cliff?

4. ### physics

You drop a rock into a deep well and 4.1s later hear the splash. How far down is the water? Neglect the travel time of the sound. Express your answer using two significant figures.

1. ### physics

A rock is dropped from a sea cliff, and the sound of it striking the ocean is heard 3.3 later. If the speed of sound is 340 , how high is the cliff?

2. ### physics

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? how can i use the speed of

3. ### college algebra

A rubber ball is dropped from the top of a hole.Exactly 3.0 seconds later, the sound of the rubber ball hitting bottom is heard.How deep is the hole? HInt:- The distance that dropped object falls in t sec is represented by the

4. ### Physics

A soccer player kicks a rock horizontally off the a 40 m high cliff into the pool of water. if the player hears the sound of the splash 3 sec., what is the initial speed given to the rock? Assume the speed of the sound in air to

1. ### Physics

A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.5 s later. How high is the cliff

2. ### physics

Heather and Jerry are standing on a bridge 51 m above a river. Heather throws a rock straight down with a speed of 17 m/s . Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air

3. ### physics

A stone is dropped into a deep canyon and is heard to strike the bottom 15s after release. How deep is the canyon? The speed of sound waves in air is 343 m/s and the acceleration of gravity is 9.8m/s^2. Answer in units of m.

4. ### physics

a soccer player kicks a rock horizontally off a 40.0-m-high cliff into a pool of water. if the player hears the sound of the splash 3.00 s later, what was the initial speed given to the rock? assume the speed of sound in air to be