1. What is the Resultant Velocity Equation?

The resultant velocity equation (v = u + at) calculates the final velocity of an object based on 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 resultant 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 resultant velocity is essential in physics, engineering, and many real-world applications like vehicle safety testing, projectile motion analysis, and space travel calculations.

4. Using the Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and time in seconds. Time must be ≥ 0. All values can be positive or negative except time.

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is zero?
A: If acceleration is zero, the velocity remains constant (v = u) as there's no change in speed over time.

Q2: Can initial velocity be negative?
A: Yes, negative velocity indicates direction opposite to the chosen positive reference direction.

Q3: What are typical units for these values?
A: Standard SI units are m/s for velocity, m/s² for acceleration, and seconds for time.

Q4: Does this work for non-constant acceleration?
A: No, this equation assumes constant acceleration. For variable acceleration, calculus methods are needed.

Q5: How does this relate to other motion equations?
A: This is one of four standard kinematic equations that describe motion with constant acceleration.