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4. A large stone is dropped from a bridge into a river. Air resistance can be ignored. Which row describes the acceleration and the speed of the stone as it falls?

\begin{tabular}{|c|c|c|}
\hline
& \begin{tabular}{c}
acceleration \\
of the stone
\end{tabular}
& \begin{tabular}{c}
speed of \\
the stone
\end{tabular} \\
\hline
A & constant & constant \\
B & constant & increasing \\
C & increasing & constant \\
D & increasing & increasing \\
\hline
\end{tabular}



Answer :

Let's analyze the physical situation described:

1. Context: A large stone is dropped from a bridge into a river, and air resistance is ignored.

2. Physics Principles:
- When an object is in free fall (i.e., it is only influenced by gravity, and we can ignore air resistance), its acceleration due to gravity is constant.
- On Earth, this constant acceleration due to gravity is approximately [tex]\(9.8 \, m/s^2\)[/tex].

3. Understanding Acceleration:
- Since only gravity is acting on the stone, and we are ignoring air resistance, the stone will experience constant acceleration. This constant acceleration is what causes the stone to speed up as it falls.

4. Understanding Speed:
- With constant acceleration, the speed of the stone increases because as time progresses, the stone continues to accelerate due to the continuous force of gravity. This means the velocity of the stone is continuously increasing.

Based on these principles:

- Acceleration: The acceleration of the stone will remain constant (due to gravity).
- Speed: The speed of the stone will be increasing as it falls.

Given these observations, the correct row that describes the situation is:

- Row B: Acceleration: constant, Speed: increasing.

Thus, the correct answer is B.