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Physics • Velocity Calculator

Velocity Calculator

Calculate final velocity and displacement from initial velocity, acceleration, and time, using v = u + at.

Final Velocity (v = u + at)
49.05 m/s
176.58 km/h • 109.72 mph
Total Displacement (s)
122.63 meters
402.31 feet
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Calculation Guide & Reference

Final Velocity & Displacement Kinematics Mathematics

Velocity calculator computes final velocity and displacement from initial velocity, acceleration, and time, using the kinematics equation v = u + at.

Standardized Mathematical Formula
v = u + at | s = ut + (1/2)at²

Final velocity equals initial velocity plus the product of acceleration and time. Displacement combines the distance from initial velocity with the additional distance from acceleration.

Variables:
u:Initial velocity
a:Acceleration (constant)
t:Time elapsed
v:Final velocity
How It Works (Step-by-Step)
  • 1Enter the initial velocity, acceleration, and time elapsed.
  • 2View the final velocity and total displacement.
Real-World Numerical Example
An Object Falling from Rest for 5 Seconds

An object starts at rest (0 m/s) and falls under gravity (9.81 m/s²) for 5 seconds.

Final velocity: 0 + 9.81 × 5 = 49.05 m/s.
Displacement: (0 × 5) + (0.5 × 9.81 × 5²) = 122.625 m.
Result: After 5 seconds, the object reaches 49.05 m/s and has fallen 122.625 meters.
Calculation Best Practices & Tips
Maintain consistent SI units (meters, kilograms, seconds, amperes, volts) across all variables before computing.
Check vector sign conventions (e.g., downward acceleration due to gravity g = -9.80665 m/s²) in projectile motion problems.

Frequently Asked Questions (FAQ)

v = u + at, where u is initial velocity, a is acceleration, and t is time — this is one of the fundamental kinematics equations for constant acceleration.

Rearrange the formula to a = (v − u) / t — subtract initial velocity from final velocity and divide by the time elapsed.

It's 0 — "dropped from rest" means the object starts with no velocity, only gaining speed due to acceleration (gravity) over time.

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