Kinematics 1. You drop a stone into a deep well and hear it hit the bottom 1.6 s

Question

Kinematics
1. You drop a stone into a deep well and hear it hit the bottom 1.6 s later. This is the time it takes for the stone to fall to the bottom of the well, plus the time it takes for the sound of the stone hitting the bottom to reach you. Sound travels about 343 m/s in air.
How deep is the well?

2. Glenda drops a coin from ear level down a wishing well. The coin falls a distance of 6.1 m before it strikes the water. If the speed of sound is 767.27 mph, how long after Glenda releases the coin will she hear a splash?

3. A car has accelerated from 9.9 to 31.9 mph within 5.9 seconds. How far has it traveled within this time?
The answer should be in metric units.

Explanation / Answer

1)

let the depth of well is x

Now, time taken for the stone to fall is

x = 0.5 * g * t^2

t = sqrt(2x/g)

time taken for sound to travel up = x/343

for total time

1.6 = sqrt(2x/g) + x/343

1.6 = srqt(2x/9.8) + x/343

solving for x

x = 12 m

the depth of well is 12 m

Related Questions

Navigate

• Browse (All)
• Browse K
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.