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A chunk of ice breaks off a glacier and falls 10.0 m before it hits the water. Assuming it falls freely (there is no air resistance), how long does it take to hit the Water

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Answer to a math question A chunk of ice breaks off a glacier and falls 10.0 m before it hits the water. Assuming it falls freely (there is no air resistance), how long does it take to hit the Water

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Neal
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96 Answers
1. Use the formula for distance in uniformly accelerated motion:
s = \frac{1}{2} g t^2

2. Rearrange the formula to solve for \( t \):
t^2 = \frac{2s}{g}

3. Take the square root of both sides:
t = \sqrt{\frac{2s}{g}}

4. Substitute the given values:
t = \sqrt{\frac{2 \times 10.0 \, \text{meters}}{9.8 \, \text{m/s}^2}}

5. Calculate:
t = \sqrt{\frac{20.0 \, \text{meters}}{9.8 \, \text{m/s}^2}}

6. Simplify and take the square root:
t = \sqrt{2.04}

7. Approximately:
t \approx 1.43 \, \text{seconds}

The answer is:

t \approx 1.43 \, \text{seconds}

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