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Initial Velocity Formula:
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The initial velocity formula \( u = v - a \times t \) calculates the starting velocity of an object when you know its final velocity, acceleration, and time. This is derived from the basic kinematic equation for motion under constant acceleration.
The calculator uses the physics formula:
Where:
Explanation: This formula rearranges the standard velocity equation to solve for initial velocity when other parameters are known.
Details: Calculating initial velocity is essential in physics problems involving motion, projectile analysis, collision studies, and various engineering applications where understanding the starting conditions is crucial.
Tips: Enter final velocity in m/s, acceleration in m/s², and time in seconds. All values must be valid (time > 0). The calculator will compute the initial velocity in m/s.
Q1: What if acceleration is negative?
A: Negative acceleration indicates deceleration. The formula still applies correctly - a negative value will increase the calculated initial velocity.
Q2: Can this formula be used for non-constant acceleration?
A: No, this formula assumes constant acceleration. For variable acceleration, integration methods are required.
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. Ensure consistent units for accurate results.
Q4: How does this relate to other kinematic equations?
A: This is derived from the fundamental equation \( v = u + a \times t \), rearranged to solve for initial velocity.
Q5: When is this formula most commonly used?
A: This formula is widely used in physics education, automotive safety testing, sports science, and any field analyzing motion with constant acceleration.