1. What is the Final Velocity Equation?

The final velocity equation \( v = \sqrt{u^2 + 2 a s} \) calculates the final velocity of an object without knowing the time, using initial velocity, acceleration, and displacement. This is derived from the equations of motion.

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)
• \( s \) — Displacement (m)

Explanation: This equation is particularly useful when time is unknown but other motion parameters are available.

3. Importance of Final Velocity Calculation

Details: Calculating final velocity is essential in physics and engineering for analyzing motion, predicting outcomes, and designing systems where time is not a factor.

4. Using the Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and displacement in meters. Displacement must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: When is this equation applicable?
A: This equation applies to motion with constant acceleration along a straight line.

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

Q3: Can this be used for vertical motion?
A: Yes, for vertical motion under constant acceleration (like gravity), using appropriate sign conventions.

Q4: What are the units for each variable?
A: All velocities in m/s, acceleration in m/s², and displacement in meters.

Q5: Is displacement always positive?
A: In this context, displacement is taken as positive magnitude. Direction is considered through the sign of acceleration and initial velocity.