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Kinematics suite: SUVAT, projectile, free-fall

Solve SUVAT unknowns, projectile flight, and free-fall in one lightweight tool with full calculation logs, root selection reasoning, shareable URLs, and plots.

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Mode

Select exactly one variable to solve.

Results

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Keyboard shortcuts: Alt+L to copy LaTeX, Alt+S to copy the shareable URL.

How it’s calculated

    Plot

    Surface key teaching points, common pitfalls, and reminders for classroom demonstrations.

    FAQ

    How does the SUVAT mode pick a formula?

    The tool inspects the known variables and chooses the simplest equation that isolates the unknown, logging the substitutions, algebra, discriminant, and which root (t ≥ 0) is selected.

    What outputs are provided in the projectile mode?

    It resolves v₀, reports flight time, range, peak height, time to apex, logs both roots of y(t)=0, and renders the trajectory with apex and landing markers.

    Related calculators

    How it’s calculated

    • SUVAT (constant acceleration): v = u + at, s = ut + ½at², v² = u² + 2as.
    • Consistent SI units; numeric outputs round only for display.
    • The shareable URL stores scenario parameters to reproduce the run.

    How it’s calculated

    • Thin lens: 1/f = 1/d_o + 1/d_i; magnification m = −d_i/d_o.
    • Consistent sign/units; results keep full precision internally and round only for display.
    • The shareable URL stores inputs so you can reproduce the same scenario.