Quadratics
Where quadratic equations show up in real life
6 live exhibits. Each one already works. Change a number and see what happens.
Open as board Play with these together. Solving one grows related exhibits.
Start hereThrowing a ball: the quadratic arc
Every throw, jump, and fountain draws a parabola.
QuadraticsThe biggest garden from a fixed fence
Same fence, different shapes. A quadratic finds the one with the most room.
QuadraticsJumping on the Moon: the same leap on other worlds
Same legs, same launch. Weaker gravity stretches the parabola, and the motion plays in real time.
QuadraticsWing lift: why twice the speed means four times the lift
Lift grows with airspeed squared. Bernoulli, angle of attack, thin air, and the stall, all on one curve.
Linear EquationsDC motor torque–speed curve: where it runs, peaks, and stalls
Load a DC motor and its speed falls in a straight line to stall. Power peaks at half speed, and efficiency peaks at light load.
Calculus (intro)The biggest box from a sheet of cardboard: optimization
Cut a square from each corner and fold up the sides. Too small a cut makes a flat tray, too big a skinny tower. The derivative finds the best cut.