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How To Calculate Crash Speed

Crash Speed Equation:

\[ v = \sqrt{2 \times g \times h} \]

m/s²
meters

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1. What is Crash Speed?

Crash speed is the velocity an object reaches when falling from a certain height under gravity, just before impact. It's derived from the principles of energy conservation and kinematics.

2. How Does the Calculator Work?

The calculator uses the crash speed equation:

\[ v = \sqrt{2 \times g \times h} \]

Where:

Explanation: The equation comes from equating potential energy (mgh) to kinetic energy (½mv²) and solving for velocity.

3. Importance of Crash Speed Calculation

Details: Calculating crash speed is important for safety engineering, accident reconstruction, and understanding impact forces in falls or collisions.

4. Using the Calculator

Tips: Enter gravity (standard is 9.81 m/s² on Earth) and height in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this account for air resistance?
A: No, this is the theoretical maximum speed in a vacuum. Real-world speeds will be lower due to air resistance.

Q2: What's the standard value of g on Earth?
A: Approximately 9.81 m/s², though it varies slightly by location (9.78-9.83 m/s²).

Q3: Can I use this for objects falling on other planets?
A: Yes, just use the appropriate gravitational acceleration for that planet.

Q4: How does height affect crash speed?
A: Speed increases with the square root of height - doubling height increases speed by √2 (about 1.41 times).

Q5: What about the mass of the object?
A: Mass cancels out in the equation - all objects fall at the same speed in a vacuum regardless of mass.

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