Kinematics: SUVAT / Projectile / Free Fall (steps)

Q: How does the SUVAT mode pick a formula?

The calculator inspects which of s, u, v, a, t are known and selects the simplest SUVAT equation that isolates the unknown. It logs the exact formula, substituted values, intermediate algebra, and—when a quadratic is involved—the candidate roots and the reason for choosing the non-negative solution.

Q: What outputs are provided in the projectile mode?

It resolves the launch speed into horizontal and vertical components, finds flight time, range, peak height, and the time to apex, records the quadratic roots for y(t)=0, and draws the trajectory with markers for the apex and landing point.

Mode

SUVAT (uniform motion) Projectile motion Free fall

Length unit Speed unit Significant figures

Displacement s Initial velocity u Final velocity v Acceleration a (m/s²) Time t (s) Unknown to solve

Select exactly one variable to solve.

Results

—

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

How it’s calculated

Plot

Teacher mode

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

Show notes

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.

Kinematics suite: SUVAT, projectile, free-fall

Results

How it’s calculated

Plot

FAQ

Related calculators