1. What is the Final Velocity Equation?

The final velocity equation \( v_f = \sqrt{v_i^2 + 2 a s} \) calculates the final velocity of an object undergoing constant acceleration, given its initial velocity, acceleration, and distance traveled.

2. How Does the Calculator Work?

The calculator uses the kinematic equation:

Where:

• \( v_f \) — Final velocity (m/s)
• \( v_i \) — Initial velocity (m/s)
• \( a \) — Acceleration (m/s²)
• \( s \) — Distance traveled (m)

Explanation: This equation is derived from the kinematic equations of motion and applies when acceleration is constant and time is not directly known.

3. Importance of Final Velocity Calculation

Details: Calculating final velocity is essential in physics and engineering for analyzing motion, predicting outcomes of collisions, designing safety systems, and understanding projectile motion.

4. Using the Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and distance in meters. All values must be valid (distance ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: When is this equation applicable?
A: This equation applies when acceleration is constant and time is not known or needed in the calculation.

Q2: What if acceleration is negative?
A: Negative acceleration (deceleration) is acceptable and will result in a decreased final velocity.

Q3: Can this be used for free fall problems?
A: Yes, for free fall, use a = -9.8 m/s² (downward direction) and appropriate distance values.

Q4: What are the units for this calculation?
A: The calculation uses SI units: meters for distance, meters per second for velocity, and meters per second squared for acceleration.

Q5: Does this equation work for circular motion?
A: No, this equation is for linear motion with constant acceleration. Circular motion requires different equations accounting for centripetal acceleration.