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Uniformly accelerated motion calculator: s, v, a, t and the graphs x(t), v(t), a (t)

Enter any three of the five quantities: displacement s, initial velocity v₀, final velocity v, acceleration a and time t. The calculator finds the other two, shows the solution Given, SI, Solution, Answer and plots x(t), v(t) and a(t).

A field accepts a number with a unit: 72 km/h, 2 min, 10 m/s²; a number without a unit is read in SI. Choose the positive direction of the axis and give the signs by it: braking is a negative acceleration with a positive velocity. If there are two answers (the body passes the point twice) both are shown.
Calculate
a

FAQ

Which equations are needed for uniformly accelerated motion and which quantities must be known?
v = v₀ + at, s = v₀ t + at²/2, s = (v₀ + v)t/2 and v² - v₀² = 2as. There are five quantities (s, v₀, v, a, t) and two independent equations, so any three are enough; the calculator handles all ten combinations.
How to find the acceleration from the initial and final velocity and the distance?
a = (v² - v₀²) / (2s). For braking from 20 m/s to a stop over 40 m: a = (0 - 400) / 80 = -5 m/s² and the braking time is t = 2s/(v₀ + v) = 4 s.
Why are there sometimes two answers?
A body that first moves one way, slows down and comes back passes the same point twice: going up and going down. The velocities there differ in sign and the moments differ. Roots with a negative time are dropped as unphysical.
How to find the braking distance of a car?
a
What is the difference between displacement and distance, and what does a negative acceleration mean?
The displacement is a vector from the start point to the end point; the distance is the length of the whole path. The sign of the acceleration depends on the axis: a negative acceleration with a positive velocity is braking; with a negative velocity it is speeding up in the opposite direction.