Accelerating Car

Positive acceleration adds equal velocity every second.

Tap the vehicle or an arrow to track it. Drag to pan; wheel to zoom.

SUVAT Motion Studio

See each equation emerge from slope, area and constant acceleration.

Real-world case

2.0u m/s

2.0v m/s

2.0a m/s²

0.0t s

0.0s m

v = u + at

Initial velocity, u2.0 m/s

Acceleration, a2.0 m/s²

Run duration8.0 s

Simulation speed1×

Slope gives acceleration. Shaded area gives displacement. The orange marker matches the moving object.

Teacher / Demo mode

All four equations assume straight-line motion with constant acceleration.

Acceleration means velocity change per second:

a = (v − u) / t

Multiply by time and rearrange:

v = u + at

A straight line on the velocity–time graph means the average is halfway between u and v.

average velocity = (u + v) / 2

s = (u + v)t / 2

Area under the graph equals displacement. Rectangle area is ut; triangle area is ½ × t × at.

s = ut + ½at²

Combine v = u + at with the displacement relationship, then eliminate t.

v² = u² + 2as

Score: 0 / 7