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Rock Fall Time Calculator

Fall Time Formula:

\[ t = \sqrt{\frac{2h}{g}} \]

meters (m)
m/s²
seconds (s)

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1. What is a Rock Fall Time Calculator?

Definition: This calculator estimates the time it takes for a rock to fall a certain distance under gravity.

Purpose: It helps in physics education, engineering calculations, and safety assessments for rock climbing or construction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t = \sqrt{\frac{2h}{g}} \]

Where:

Explanation: The formula calculates the time for an object to fall freely from rest under constant acceleration due to gravity.

3. Importance of Fall Time Calculation

Details: Understanding fall time is crucial for safety planning, impact force calculations, and various physics applications.

4. Using the Calculator

Tips: Enter the height in meters and gravitational acceleration (default 9.81 m/s² for Earth). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Does this account for air resistance?
A: No, this is the theoretical fall time in a vacuum. Real-world times may be slightly longer due to air resistance.

Q2: What's the gravitational acceleration on other planets?
A: For example: Moon (1.62 m/s²), Mars (3.71 m/s²), Jupiter (24.79 m/s²).

Q3: Does the object's mass affect fall time?
A: No, in a vacuum all objects fall at the same rate regardless of mass.

Q4: How accurate is this calculation?
A: It's perfectly accurate for ideal conditions (no air resistance, uniform gravity).

Q5: What if the object starts with initial velocity?
A: This calculator assumes the object starts from rest (zero initial velocity).

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