1. What is the Final Velocity Formula?

The final velocity formula (v = u + at) calculates the final speed of an object based on its initial velocity, constant acceleration, and the time over which the acceleration occurs. This is one of the fundamental equations of motion in physics.

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)
• \( t \) — Time (s)

Explanation: This equation assumes constant acceleration and calculates how much an object's velocity changes over a specific time period.

3. Importance of Final Velocity Calculation

Details: Calculating final velocity is essential in physics, engineering, and various real-world applications such as vehicle safety testing, projectile motion analysis, and sports performance measurement.

4. Using the Calculator

Tips: Enter initial velocity in m/s, acceleration in m/s², and time in seconds. Time must be a non-negative value.

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is negative?
A: Negative acceleration (deceleration) will result in a decrease in velocity. The formula works the same way with negative values.

Q2: Does this formula work for non-constant acceleration?
A: No, this formula assumes constant acceleration. For variable acceleration, integration methods are needed.

Q3: What are typical units for these measurements?
A: Velocity is typically measured in m/s or km/h, acceleration in m/s², and time in seconds.

Q4: Can this formula be used for vertical motion?
A: Yes, but for objects near Earth's surface, acceleration due to gravity (approximately 9.8 m/s² downward) must be considered.

Q5: What if initial velocity is zero?
A: If initial velocity is zero, the formula simplifies to v = a × t, meaning final velocity equals acceleration multiplied by time.