1. What Is The V² = U² + 2as Equation?

The v² = u² + 2as equation is one of the four fundamental equations of motion in classical mechanics. It calculates the final velocity squared of an object undergoing constant acceleration, without requiring time as an input variable.

2. How Does The Calculator Work?

The calculator uses the equation:

Where:

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

Explanation: This kinematic equation relates the square of final velocity to the square of initial velocity plus twice the product of acceleration and displacement.

3. Applications Of The Equation

Details: This equation is widely used in physics and engineering to solve problems involving motion with constant acceleration, such as projectile motion, vehicle braking distance calculations, and free-fall problems.

4. Using The Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and displacement in meters. All values can be positive or negative depending on direction, with proper sign convention.

5. Frequently Asked Questions (FAQ)

Q1: When is this equation applicable?
A: This equation applies only when acceleration is constant and motion is along a straight line.

Q2: What if acceleration is zero?
A: If acceleration is zero, the equation simplifies to v² = u², meaning velocity remains constant.

Q3: Can this calculate actual velocity, not just squared?
A: To find velocity (v), you would need to take the square root of the result, considering both positive and negative solutions based on direction.

Q4: What are the SI units for this equation?
A: All inputs should be in SI units: meters for displacement, meters per second for velocity, and meters per second squared for acceleration.

Q5: How does this relate to energy conservation?
A: This equation is mathematically equivalent to the work-energy theorem, where the change in kinetic energy equals the work done.