Vectors: drawing, measuring and combining

Interactive lesson
Net displacement from a two-leg walkInteractive lesson
The resultant vectorInteractive lesson
Tip-to-tail scale additionInteractive lesson
Judge a vector-addition diagramInteractive lesson
Resultant magnitude by PythagorasInteractive lesson
Name the sides of a right triangleInteractive lesson
Trig ratios in a right triangleInteractive lesson
Find a side with a trig ratioInteractive lesson
Find an angle with the inverse tangentInteractive lesson
Resultant direction by tangentInteractive lesson
Any vector splits into two perpendicular components

Components and relative motion

Interactive lesson
Sketch the componentsInteractive lesson
Calculate the componentsInteractive lesson
Component signs from directionInteractive lesson
Judge a component diagramInteractive lesson
Add vectors by the component methodInteractive lesson
Same motion, different framesInteractive lesson
Relative velocityInteractive lesson
Relative velocity, same directionInteractive lesson
Relative velocity, opposite directionsInteractive lesson
Velocities combine by vector additionInteractive lesson
River-crossing resultant velocityInteractive lesson
Current doesn't slow the crossing

Projectiles: two independent motions

Interactive lesson
Gravity-only flight, or notInteractive lesson
What counts as a projectileInteractive lesson
Horizontal velocity stays constantInteractive lesson
Why the horizontal velocity can't changeInteractive lesson
Vertical motion is free fallInteractive lesson
Why the vertical motion is free fallInteractive lesson
The independence principleInteractive lesson
Dropped and launched land togetherInteractive lesson
The path is a parabolaInteractive lesson
Horizontal launch means zero initial vertical velocityInteractive lesson
Higher launch, longer flightInteractive lesson
Faster launch, same flight timeInteractive lesson
Faster launch, longer reach

Horizontal launches: the two problems in numbers

Interactive lesson
Flight time from launch height aloneInteractive lesson
Range from speed and timeInteractive lesson
Launch speed from range and heightInteractive lesson
Sketch the flightInteractive lesson
Velocity at a point in flightInteractive lesson
At the top, vertical velocity is zeroInteractive lesson
Acceleration never turns offInteractive lesson
Judge a trajectory diagram

Angled launches: the full toolkit

Interactive lesson
Steeper launch, longer flightInteractive lesson
Steeper launch, less forward speedInteractive lesson
Time to the top from the vertical componentInteractive lesson
Launch and landing mirror each otherInteractive lesson
Maximum height from the vertical componentInteractive lesson
Total time of flightInteractive lesson
Range of an angled launchInteractive lesson
45° throws farthestInteractive lesson
Complementary angles, equal range