1. What is the Initial Velocity Equation?

The initial velocity equation \( V_0 = V - a t \) calculates the starting velocity of an object when you know its final velocity, acceleration, and the time over which acceleration occurred. This is derived from the standard velocity equation \( V = V_0 + a t \).

2. How Does the Calculator Work?

The calculator uses the equation:

Where:

• \( V_0 \) — Initial velocity (m/s)
• \( V \) — Final velocity (m/s)
• \( a \) — Acceleration (m/s²)
• \( t \) — Time (s)

Explanation: This equation rearranges the standard velocity formula to solve for the initial velocity rather than the final velocity.

3. Importance of Initial Velocity Calculation

Details: Calculating initial velocity is essential in physics problems involving motion, helping to analyze the starting conditions of moving objects, predict trajectories, and understand the effects of acceleration over time.

4. Using the Calculator

Tips: Enter final velocity in m/s, acceleration in m/s², and time in seconds. Time must be a non-negative value.

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is negative?
A: Negative acceleration (deceleration) is perfectly valid. The calculator will correctly compute initial velocity for both positive and negative acceleration values.

Q2: Can this be used for free-fall problems?
A: Yes, with acceleration set to gravity (approximately 9.8 m/s² downward).

Q3: What are typical units for these values?
A: The calculator uses SI units: meters per second (m/s) for velocity, meters per second squared (m/s²) for acceleration, and seconds (s) for time.

Q4: Does this equation assume constant acceleration?
A: Yes, this equation only applies when acceleration is constant throughout the time period.

Q5: What if time is zero?
A: When time is zero, initial velocity equals final velocity regardless of acceleration, as no time has passed for acceleration to affect the velocity.