1. What Is The Final Velocity Formula?

The final velocity formula (v = u + at) calculates the final velocity of an object under constant acceleration, where u is initial velocity, a is acceleration, and t is time. This is one of the fundamental equations of motion in physics.

2. How Does The Calculator Work?

The calculator uses the final velocity equation:

Where:

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

Explanation: The equation calculates the final velocity by adding the product of acceleration and time to the initial velocity.

3. Importance Of Final Velocity Calculation

Details: Calculating final velocity is essential in physics and engineering for analyzing motion, predicting trajectories, designing transportation systems, and understanding the behavior of moving objects under acceleration.

4. Using The Calculator

Tips: Enter initial 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) will result in a decrease in velocity over time.

Q2: Does this formula work for variable acceleration?
A: No, this formula only applies when acceleration is constant. For variable acceleration, integration methods are required.

Q3: What are typical units for this equation?
A: While m/s, m/s², and s are standard SI units, you can use any consistent unit system (e.g., ft/s, ft/s², s).

Q4: Can this be used for free-fall motion?
A: Yes, for free-fall near Earth's surface, use a = -9.8 m/s² (negative for downward direction).

Q5: What if initial velocity is zero?
A: If u = 0, the formula simplifies to v = a t, meaning velocity increases linearly with time under constant acceleration.