Question

You drop a rock down a well that is 31 m deep. How long does it take the rock

to hit the bottom of the well?
A. 1.9 s
B. 2.7 s
C. 6.3 s
D. 2.5 s

Answer 1

It’s (A) I’m not really sure

Answer 2

It would take 2.5 s for the rock to get the bottom of the well

How to solve for the time it takes

`\[ \text{Time} = \sqrt{\frac{2 * \text{distance}}{\text{acceleration due to gravity}}} \]`

Given:

Distance = 31 meters

Acceleration due to gravity (near the Earth's surface) ≈ 9.81 m/s²

Substituting the values:

`\[ \text{Time} = \sqrt{\frac{2 * 31 \text{ m}}{9.81 \text{ m/s}^2}} \]`

when we solve for the above we have that the time is 2.5 seconds to get the bottom of the well

Therefore, the closest option to the calculated time is D. 2.5 s.