1. What is Velocity?

Velocity is a physical quantity that describes the rate of change of an object's position with respect to time. It is a vector quantity that includes both magnitude (speed) and direction.

2. How Does the Calculator Work?

The calculator uses the velocity formula:

Where:

• \( v \) — Velocity (m/s)
• \( dx \) — Change in position (m)
• \( dt \) — Change in time (s)

Explanation: This formula calculates the instantaneous velocity by taking the derivative of position with respect to time.

3. Importance of Velocity Calculation

Details: Velocity calculation is fundamental in physics and engineering for analyzing motion, predicting trajectories, and understanding the dynamics of moving objects in various applications.

4. Using the Calculator

Tips: Enter position in meters and time in seconds. Time must be a positive value greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between velocity and speed?
A: Velocity is a vector quantity that includes both magnitude and direction, while speed is a scalar quantity that only represents magnitude.

Q2: Can this calculator handle negative velocity values?
A: Yes, negative velocity indicates motion in the opposite direction of the defined positive direction.

Q3: What are typical velocity units?
A: Common units include meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph).

Q4: Does this calculate average or instantaneous velocity?
A: This calculates average velocity over the given time interval. For instantaneous velocity, you would need position as a function of time.

Q5: How is velocity different from acceleration?
A: Velocity is the rate of change of position, while acceleration is the rate of change of velocity with respect to time.