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Final Velocity Equation:
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The equation v = √(u² + 2 a s) calculates final velocity without requiring time as an input. This kinematic equation is derived from the standard equations of motion and is particularly useful when time is unknown or not measured.
The calculator uses the kinematic equation:
Where:
Explanation: This equation calculates the final velocity of an object when you know its initial velocity, constant acceleration, and displacement, without needing to know the time interval.
Details: Calculating final velocity without time is essential in physics problems where time measurement is impractical or when analyzing motion from position data alone. It's widely used in engineering, ballistics, and vehicle safety testing.
Tips: Enter initial velocity in m/s, acceleration in m/s², and displacement in meters. All values must be valid numerical inputs. Acceleration can be positive (speeding up) or negative (slowing down).
Q1: When should I use this equation instead of v = u + at?
A: Use this equation when you don't know or don't have the time variable, but you do know the displacement.
Q2: Does this equation work for deceleration?
A: Yes, simply use a negative value for acceleration when the object is slowing down.
Q3: What if the acceleration is not constant?
A: This equation only works for constant acceleration. For variable acceleration, more complex calculus-based methods are required.
Q4: Can this equation give imaginary results?
A: Yes, if u² + 2as is negative, the result would be imaginary, which typically indicates an impossible physical scenario.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for constant acceleration scenarios, but real-world factors like air resistance may affect actual results.