1. What is the First Velocity Equation?

The first velocity equation (v = u + at) calculates the final velocity of an object when you know its initial velocity, constant acceleration, and the time period over which the acceleration is applied. This is one of the fundamental equations of motion in physics.

2. How Does the Calculator Work?

The calculator uses the first velocity equation:

Where:

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

Explanation: The equation shows that the final velocity equals the initial velocity plus the product of acceleration and time.

3. Importance of Velocity Calculation

Details: Calculating final velocity is essential in physics and engineering for predicting object motion, designing transportation systems, and analyzing mechanical systems.

4. Using the Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and time in seconds. All values must be valid numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is negative?
A: Negative acceleration means deceleration. The final velocity will be less than the initial velocity.

Q2: Does this equation work for non-constant acceleration?
A: No, this equation only applies when acceleration is constant. For variable acceleration, calculus methods are needed.

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

Q4: Can this be used for vertical motion under gravity?
A: Yes, with a = g (9.81 m/s² downward) for free-fall near Earth's surface.

Q5: What's the difference between velocity and speed?
A: Velocity includes direction (vector quantity) while speed is just the magnitude (scalar quantity).