1. What is the Velocity Equation?

The velocity equation \( v = u + a t \) 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.

2. How Does the Calculator Work?

The calculator uses the velocity equation:

Where:

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

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, engineering, and motion analysis to predict an object's future position and speed.

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 variable acceleration?
A: No, this equation only works for constant acceleration. For variable acceleration, calculus methods are needed.

Q3: What are typical units for velocity?
A: The SI unit is meters per second (m/s), but km/h or mph are also commonly used (conversion needed).

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).