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Initial Velocity Formula:
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The initial velocity formula (v₀ = v - a t) calculates the starting velocity of an object when you know its final velocity, acceleration, and time elapsed. This is derived from the basic kinematic equation v = v₀ + a t.
The calculator uses the initial velocity formula:
Where:
Explanation: This formula rearranges the standard velocity equation to solve for initial velocity rather than final velocity.
Details: Calculating initial velocity is essential in physics problems involving motion, projectile analysis, collision studies, and various engineering applications where the starting conditions of moving objects need to be determined.
Tips: Enter final velocity in m/s, acceleration in m/s², and time in seconds. Time must be greater than zero. The calculator will compute the initial velocity in m/s.
Q1: What if acceleration is negative?
A: Negative acceleration indicates deceleration. The formula still works correctly - a negative acceleration value will increase the calculated initial velocity.
Q2: Can this formula be used for vertical motion?
A: Yes, the formula applies to both horizontal and vertical motion, though for vertical motion near Earth's surface, acceleration would typically be -9.8 m/s² (gravity).
Q3: What are the SI units for this calculation?
A: The standard units are meters per second (m/s) for velocity, meters per second squared (m/s²) for acceleration, and seconds (s) for time.
Q4: Does this formula assume constant acceleration?
A: Yes, this formula is only valid for motion with constant acceleration. For variable acceleration, more complex calculus-based methods are required.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the given inputs under the assumption of constant acceleration. The practical accuracy depends on the precision of your measured values.