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Find Initial Velocity Calculator

Initial Velocity Formula:

\[ V_0 = V - a t \]

m/s
m/s²
s

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1. What is Initial Velocity?

Initial velocity (V₀) is the velocity of an object at the start of a time interval. It's a fundamental concept in kinematics that helps describe an object's motion under constant acceleration.

2. How Does the Calculator Work?

The calculator uses the initial velocity formula:

\[ V_0 = V - a t \]

Where:

Explanation: This formula calculates the initial velocity by subtracting the product of acceleration and time from the final velocity.

3. Importance of Initial Velocity Calculation

Details: Calculating initial velocity is essential in physics and engineering for analyzing motion, predicting trajectories, and solving problems related to acceleration and displacement.

4. Using the Calculator

Tips: Enter final velocity in m/s, acceleration in m/s², and time in seconds. All values must be valid (time > 0).

5. Frequently Asked Questions (FAQ)

Q1: What if acceleration is negative?
A: Negative acceleration indicates deceleration. The formula still applies correctly with negative values.

Q2: Can this formula be used for non-constant acceleration?
A: No, this formula only applies when acceleration is constant throughout the time interval.

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

Q4: How does initial velocity relate to displacement?
A: Initial velocity is a key component in displacement equations like \( s = V_0 t + \frac{1}{2} a t^2 \).

Q5: What if I need to find final velocity instead?
A: You would use the rearranged formula \( V = V_0 + a t \) to calculate final velocity.

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