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.
Compare the center-of-mass motion before and after the carts couple.
Drag the missing friction arrow so a constant-velocity sled balances.
Measure a, recover F = ma, then double the mass and predict.
Compare equal-and-opposite contact forces and the carts’ different accelerations.
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.
13 review questions on Days 1–9, with feedback on each common mistake.
Live v and a vectors plus phase-shifted graphs show a ⊥ v.
Use radial force equations to compare tension at the top and bottom.
Time 10 laps of a conical pendulum and work backward to g = 9.8.
Carry a probe to 4R: equal third-law pulls, F ∝ 1/r², and a straight-line graph.
Two balls crash, one falls all the way around Earth. Find its speed and period.
Follow one cargo pod from the loading dock into orbit. A ghost moves according to your answers, so you can compare your predictions with the ideal solution.
The area under a bow’s force–distance line is work, and then the arrow’s kinetic energy.
Live K, U and thermal bars with snapshots at release, bottom and the far side.
Ride one coaster cart from the spring launcher to the brakes and back up the lift hill. Draw energy bar charts, and compare your predictions with the ideal solution.
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!
Inspect a bat–ball impact in 3D. Follow the force–time area as the ball gains momentum.
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.
Sample preview — no classroom credit is recorded. Return to the sample day.