Four velocity questions, one panel.
Pick a mode below — everything recalculates live as you type, and every result explains itself.
How far it travelled. Any unit — metres, kilometres, miles, yards… conversions are automatic.
How long it took. It can never be zero — v = d ÷ t needs time to pass.
Velocity at the start — negative means it was already moving the other way.
Velocity at the end. This method assumes constant acceleration.
End position minus start position. Negative = net movement backwards.
Total elapsed time, stops included. Works for any motion — no constant acceleration needed.
Velocity when the clock starts.
How fast velocity changes. Negative = braking (if moving forward). Free fall ≈ 1 g.
How long the acceleration is applied.
Angle swept out. One full turn = 1 rev = 360° = 2π rad.
How long the rotation takes.
Optional — distance from the centre. Adds the tangential (edge) speed v = ω × r.
From question to answer in four steps.
No calculate button, no page reloads — type a number and the answer updates itself.
Pick a mode
Four tabs for the four classic questions: speed from distance and time, average velocity, final velocity from acceleration, and angular velocity in rad/s and rpm.
Enter values and units
Type your numbers, then choose the unit from the dropdown beside each field — metres or miles, seconds or hours. Every unit converts automatically.
Read the live results
The answer appears instantly in m/s and km/h, with mph, ft/s, knots and Mach just below. Impossible inputs get a plain-English explanation, never a wrong number.
Copy or verify
Each panel shows the formula with your numbers substituted, so the working is always checkable — and one click copies the whole result as plain text.
Every answer, with its working shown.
The four formulas this calculator is built on — one per tab, no hidden maths.
Velocity
Distance over time. Flip it for distance (d = v·t) or time (t = d ÷ v). 100 m in 9.58 s → 10.44 m/s.
Average velocity
When acceleration is constant, the average is the mean of start and finish. For any motion at all: Δx ÷ Δt.
Final velocity
Add acceleration × time to the starting velocity. Pair it with s = u·t + ½·a·t² for the distance covered.
Angular velocity
Angle per second, in rad/s. 1 rev/s = 60 rpm = 2π rad/s. Edge speed at radius r: v = ω × r.
Everything people ask.
Short answers to the questions that come up whenever velocity is on the homework.
How do I calculate velocity?+
Divide the distance travelled by the time it took: v = d ÷ t. For example, 100 m sprinted in 9.58 s gives v = 100 ÷ 9.58 ≈ 10.44 m/s — about 37.6 km/h. Add a direction ("10.44 m/s north") and a speed becomes a velocity. The first tab does this with any distance and time units.
What is the difference between speed and velocity?+
Speed is how fast — a number like 60 km/h. Velocity is how fast, and which way — 60 km/h north. That is why velocity can be negative: −5 m/s does not mean "slower than zero", it means 5 m/s in the direction opposite to the one you called positive.
How do I calculate average velocity?+
Two ways, and the calculator has both. If acceleration is constant, average velocity is the mean of the ends: (u + v) ÷ 2 — a car going from 0 to 100 km/h covers ground at 50 km/h on average. For any other motion, divide net displacement by total time: Δx ÷ Δt.
Careful: average speed uses total distance, which can be bigger — a runner returning to the start has zero average velocity but positive average speed.
How do I find final velocity from acceleration?+
Use v = u + a·t — start velocity plus acceleration × time. A car starting at 0 m/s and accelerating at 3 m/s² for 10 s ends at 30 m/s; a ball dropped for 3 s (a ≈ 9.81 m/s²) reaches about 29.4 m/s.
If the result goes negative while decelerating, the object passed through rest and reversed — the calculator flags this for you.
How do I convert between m/s, km/h and mph?+
m/s → km/h: multiply by 3.6. km/h → m/s: divide by 3.6. m/s → mph: multiply by 2.23694. Also handy: 1 mph = 0.44704 m/s, 1 knot = 0.514444 m/s and Mach 1 at sea level ≈ 340.29 m/s. Every result on this page is shown in m/s, km/h, mph, ft/s, knots and Mach at once, so no separate converter is needed.
What is angular velocity and how do I calculate it?+
Angular velocity is rotation speed: angle turned per unit time, ω = θ ÷ t, measured in rad/s. One full revolution is 2π ≈ 6.2832 rad, so 1 rev/s = 6.2832 rad/s = 60 rpm. The Earth turns 2π rad in 24 h — about 7.27×10⁻⁵ rad/s.
With the radius you also get the linear speed at the edge: v = ω × r.
Can velocity be negative or zero?+
Both are normal. Zero velocity means at rest at that instant. Negative velocity means movement in the negative direction: a displacement of −12 m in 8 s is an average velocity of −1.5 m/s. The sign is direction information, not a smaller magnitude — and negative angular velocity simply means clockwise rotation.
Is this calculator free, and is my data sent anywhere?+
It is completely free and runs entirely in your browser — nothing you type is uploaded, logged or sent to a server. No account, no sign-up, no limits.