Signed changes, net change vs distance — summer warm-up.
Rearrange physics formulas in symbols, then plug in numbers.
SOH-CAH-TOA on a grid triangle you can count by hand.
Drag out a vector's horizontal piece, then rebuild the whole.
Constant velocity, displacement vs distance, and a meeting point.
A cart drives while its x-t and v-t graphs draw themselves.
Speed up, cruise, brake — read slopes and areas off v-t and a-t.
Predict with the Big Three, then check against the simulation.
Constant-velocity truck vs accelerating car. When does it catch up?
A ball thrown straight up — v hits zero at the top, a never does.
Drag the resultant of two displacement vectors tip-to-tail.
Horizontal launch with interval dots — the axes never talk.
Resolve, fly, and explore which angle wins on range.
Overhead view: the current decides where you land, never when.
Carts couple mid-track — the center of mass never flinches.
Drag the missing friction arrow so a constant-velocity sled balances.
Measure a, recover F = ma, then double the mass and predict.
Mirror-image force graphs prove Newton's Third Law live.
Measure μ from nothing but the motion of a sliding crate.
Gravity splits along the incline — then we roughen the surface.
Bracket the tension, find a, cross-check from both sides.
Friction, systems, and tension in one synthesis problem.
Live v and a vectors plus phase-shifted graphs show a ⊥ v.
Watch T(θ) trace the revolution — gravity helps at the top, fights at the bottom.
Time 10 laps of a conical pendulum and work backward to g = 9.8.
Two equal-mass carts collide elastically. Watch them exchange velocities!
Carts stick together after collision. Explore momentum vs energy conservation.
Practice vector addition with draggable momentum vectors.
A spring releases, pushing objects apart. Discover how rockets work!
Watch a collision and see the Force-Time graph build in real-time!
Calculate average force from momentum change. Compare hard vs soft collisions!
See how a force creates torque on a spinning disc — with 3D vectors!
Use meshed gears to connect edge speed and angular speed with v = ωr.
Balance torques and test what happens when extra mass is added on one side.
Watch a disc roll down a ramp. Track how PE becomes translational + rotational KE.
Pull a string on a disc and connect force, pull distance, work, and rotational KE.
Spin a flywheel in 3D and connect ω₀, α, ω, and θ through time.
See how inertia and applied torque control angular acceleration.
Use τ = Iα on a spinning pulley and track angular motion step-by-step.
Watch a mass oscillate on a spring. Calculate period, frequency, and max speed.
A pendulum swings in 3D. Find the period, speed at bottom, and test on the Moon.
Track x, v, and a through a full cycle. See why v is max when x is zero.
Watch KE and PE trade off. Find where they're equal and how amplitude affects energy.
Turn curves into lines. Extract spring constant from a T² vs m graph.
Full synthesis: period, energy, velocity at arbitrary x, and equivalent pendulum.
Calculate gauge and absolute pressure at depth. Find force on a submerged panel.
An aluminum cube in water. Find buoyant force, tension, and what happens in mercury.
Watch particles speed up in a narrowing pipe. Use continuity and Bernoulli.
Water exits a tank hole. Calculate exit speed, projectile range, and optimize.
A wooden block floats. Find fraction submerged, then push it under and analyze forces.
Live kinetic-theory gas: heat it, squeeze it, and watch P-T trace itself.