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Final Velocity Formula:
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The final velocity formula (v = u + a×t) is a fundamental equation in physics that calculates the final velocity of an object given its initial velocity, constant acceleration, and time elapsed. This equation is derived from the basic principles of kinematics.
The calculator uses the final velocity formula:
Where:
Explanation: The formula calculates the final velocity by adding the product of acceleration and time to the initial velocity. This assumes constant acceleration over the time period.
Details: Calculating final velocity is essential in physics and engineering for analyzing motion, predicting object trajectories, designing transportation systems, and solving real-world problems involving moving objects.
Tips: Enter initial velocity in m/s, acceleration in m/s², and time in seconds. Time must be a non-negative value. All values should use consistent units for accurate results.
Q1: What if acceleration is negative?
A: Negative acceleration (deceleration) will result in a decrease in velocity. The formula still applies correctly with negative values.
Q2: Does this formula work for variable acceleration?
A: No, this formula assumes constant acceleration. For variable acceleration, integration methods are required.
Q3: What are typical units for this calculation?
A: The standard SI units are meters per second (m/s) for velocity, meters per second squared (m/s²) for acceleration, and seconds (s) for time.
Q4: Can this formula be used for vertical motion under gravity?
A: Yes, with gravitational acceleration (approximately 9.8 m/s² downward). Remember to use appropriate signs for direction.
Q5: What if time is zero?
A: If time is zero, the final velocity equals the initial velocity (v = u), as no acceleration has been applied over time.