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Challenges

Work out the number, type it in, and watch the lab prove you right. Robots move, balls land, cars stop on the line.

Challenges
56
XP available
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0/56
Projectile Motion

Algebra · Physics

0/4
When does it land?Warm-up10 XPSink the 30 m shotCore25 XPHouston, we have a parabolaCore25 XPYeet it over the wallStretch50 XP
Position, Velocity, Acceleration

Calculus I · Physics

0/4
When does it turn around?Warm-up10 XPStop on the lineCore25 XPFind the top speedCore25 XPZero to sixtyStretch50 XP
Bézier Curves

Calculus II · Computer Science

0/3
Find the halfway pointWarm-up10 XPLaunch speedCore25 XPConstant speed in tStretch50 XP
Gradient Descent

Calculus III · Computer Science

0/4
Converge in 30 stepsWarm-up10 XPFind the stability limitStretch50 XPSir, this is a saddle pointCore25 XPFind the deeper valleyStretch50 XP
Edge Detection

Calculus III · Computer Science

0/3
Compute a gradient by handWarm-up10 XPWhich way does the edge face?Core25 XPDesign a horizontal-edge detectorCore25 XP
Potential Field Navigation

Calculus III · Robotics

0/4
Which way does it roll?Warm-up10 XPStuck in a local minimum (relatable)Core25 XPGet around itCore25 XPThread the gapStretch50 XP
Robot Arm Kinematics

Linear Algebra · Robotics

0/4
Write the rotationWarm-up10 XPPredict the gripperCore25 XPPick up the red brickCore25 XPReach the high shelfStretch50 XP
3D Transformations

Linear Algebra · Game Development

0/4
Mirror the shipWarm-up10 XPFlat Earth modeCore25 XPUndo a shearStretch50 XPFind a direction that only stretchesCore25 XP
How a Camera Sees

Linear Algebra · Computer Science

0/3
Project a point by handWarm-up10 XPHow far away?Core25 XPFill the frameStretch50 XP
Forced Oscillations

Differential Equations · Physics

0/5
Find y_p by handWarm-up10 XPTacoma Narrows speedrunCore25 XPFastest return, no overshootCore25 XPStart in steady stateStretch50 XPHit an amplitude of 0.5Core25 XP
Predator and Prey

Differential Equations · Biology

0/3
Find the balance pointWarm-up10 XPMore deaths, more preyCore25 XPVolterra's fishing puzzleStretch50 XP
Epidemic Curves

Differential Equations · Medicine

0/3
When does it peak?Warm-up10 XPFlatten the curveCore25 XPHerd immunityStretch50 XP
The Real Pendulum

Differential Equations · Physics

0/3
Small-swing periodWarm-up10 XPOver the topCore25 XPOn the separatrixStretch50 XP
Vibrating Drumhead

Partial Differential Equations · Physics

0/3
Ba dum tss: not a harmonicCore25 XPCount the nodal linesWarm-up10 XPStrike without exciting any m ≥ 1 modeStretch50 XP
Heat Diffusion

Partial Differential Equations · Physics

0/3
Find the stability limitCore25 XPPredict the steady stateCore25 XPThis is fineStretch50 XP
The Bell Curve from Randomness

Probability & Statistics · Computer Science

0/3
We live in a simulation.Warm-up10 XPPredict the spreadCore25 XPA tilted boardStretch50 XP