What does the velocity-time mode calculate?

It plots v(t)=u+a·t, shades the area representing displacement, and lists the SUVAT quantities.

What results are provided for projectile motion?

The tool traces the trajectory and reports range, maximum height, and flight time.

Can I change the gravitational acceleration?

Yes. Enter a gravity value such as Earth’s 9.81 m/s², the Moon’s 1.62 m/s², or Mars’s 3.72 m/s².

Does the projectile mode include air resistance?

Yes. You can enable the Air resistance option for the projectile calculation.

What inputs are needed for free-fall timing?

Enter the drop height and gravitational acceleration to calculate fall time and impact velocity.

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STEM Physics — Kinematics Velocity-Time Graph Tutor

Kinematics visualisation tutor: velocity-time curve (constant-acceleration SUVAT solver with displacement-area shading), projectile parabola (adjustable g + air-resistance toggle), and free-fall timing

Details

What this tool helps you do

For high-school/university physics students, AP/IB Physics candidates, and K-12 teachers preparing material. Constant-acceleration mode: plots v(t)=u+a·t, shades the area under the curve to make displacement s=∫v dt=ut+½at² visible, and lists all SUVAT quantities. Projectile mode: traces the parabola x=v₀cosθ·t, y=v₀sinθ·t−½gt², gives range / max height / flight time, with optional quadratic air drag. Free-fall mode: time and impact velocity from height and g. Gravity is adjustable (Earth/Moon/Mars). Pure local, deterministic, no network.

Execution

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Prepared example runs

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2 examples

Uniform acceleration: v–t graph with displacement area

A car accelerates from rest at 3 m/s² for 5 s; the v–t line and its shaded area (displacement) are plotted.

{
  "type": "html"
}

Projectile launched at 45° (ideal parabola)

A 20 m/s launch at 45° from ground level traces the trajectory and reports range, max height and flight time.

{
  "type": "html"
}

Inputs

Options are grouped so long tools stay easier to scan.

10 options

SettingsAdjust formats, ranges, numbers, and modes.9

ModeselectOptionalInitial velocity u (m/s)numberOptionalAcceleration a (m/s²)numberOptionalTime duration t (s)numberOptionalLaunch speed (m/s)numberOptionalLaunch angle θ (°)numberOptionalInitial height y₀ (m)numberOptionalDrop height (m)numberOptionalGravity g (m/s²)numberOptional

TogglesEnable or disable optional behavior.1

Air resistancecheckboxOptionalEnabled when checked

Result

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Samples

STEM Physics — Kinematics Velocity-Time Graph Tutor

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Examples

1. Uniform acceleration from rest

2. Ideal 45-degree projectile

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3. Free-fall timing from a measured height