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Velocity Equation Calculator

Velocity Equation:

\[ v = u + a t \]

m/s
m/s²
s

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1. What is the Velocity Equation?

The velocity equation (v = u + at) is one of the fundamental equations of motion in physics. It calculates the final velocity of an object given 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:

\[ v = u + a t \]

Where:

Explanation: This equation describes how an object's velocity changes under constant acceleration over time.

3. Importance of Velocity Calculation

Details: Calculating velocity is essential in physics, engineering, and many real-world applications such as vehicle motion analysis, projectile motion, and mechanical system design.

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 over time.

Q2: Does this equation work for variable acceleration?
A: No, this equation assumes constant acceleration. For variable acceleration, integration methods are required.

Q3: What are typical units for these values?
A: While we use m/s for velocity and m/s² for acceleration, you can use any consistent unit system as long as all values use the same system.

Q4: Can this calculate initial velocity?
A: Yes, the equation can be rearranged to solve for any variable: u = v - at.

Q5: What is the difference between velocity and speed?
A: Velocity is a vector quantity (has magnitude and direction), while speed is a scalar quantity (magnitude only).

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