A stone is dropped from a bridge 45 meters above the surface of a river. What is the time required for the stone to reach the water’s surface?

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Answer:

C.  3.0 s

Explanation:

Well, I've taken this question before, so I went back and this was the answer I put, which was correct.

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It will take 3 s for the stone to get to the surface of the water.

We'll begin by listing out what was given from the question. This includes:

Height (h) = 45 m

Time (t) =?

NOTE: Acceleration due to gravity (g) is 10 m/s²

From the data above, we can obtain the time taken for the stone to get to the surface of the water as follow:

H = ½gt²

45 = ½ × 10 × t²

45 = 5 × t²

Divide both side by 5

[tex]t^{2} = \frac{45}{5} \\\\t^{2} = 9[/tex]

Take the square root of both side

[tex]t = \sqrt{9}[/tex]

t = 3 s

Therefore, it will take 3 s for the stone to get to the surface of the water.

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