The velocity calculator solves v = u + at — the first kinematics equation for motion with constant acceleration.
About this calculator
The velocity calculator solves v = u + at — the first kinematics equation for motion with constant acceleration. Enter starting speed u, acceleration a, and time t to get final velocity v.
Example: a stone dropped from rest (u = 0) under gravity (a = 9.8 m/s²) for 3 s reaches v = 29.4 m/s. A car at 20 m/s braking at −4 m/s² for 2 s slows to 12 m/s.
Once you have final velocity, find kinetic energy with the [[kinetic-energy]] calculator or momentum with the [[momentum]] calculator. The [[force]] calculator links acceleration to mass (F = ma). For distance covered during the same interval, use the [[speed-distance-time]] calculator when speed is steady, or SUVAT distance formulas in your textbook alongside this result.
Common uses
- Free-fall and projectile intro problems
- Car acceleration and braking estimates
- CBSE Class 11 kinematics homework
- Finding speed after a known thrust interval
- Checking lab data from motion sensors
Frequently asked questions
What is the final velocity after 3 s of free fall from rest?
u = 0, a = 9.8 m/s², t = 3 s. v = 0 + 9.8 × 3 = 29.4 m/s. Enter those values and the calculator returns 29.4 m/s downward.
Can acceleration be negative in v = u + at?
Yes. Negative acceleration means slowing down if velocity is positive. Example: u = 20, a = −5, t = 2 gives v = 10 m/s.
What is final velocity if u = 15 m/s, a = 2 m/s², and t = 4 s?
v = 15 + 2 × 4 = 23 m/s. Enter initial velocity 15, acceleration 2, and time 4.
Does this work for non-uniform acceleration?
No. v = u + at assumes constant acceleration over the whole time interval. Changing acceleration needs calculus or smaller time steps.