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What's on the worksheet
- With x pointing east and y pointing north, write each velocity in component form, exactly.a glider's air velocity, heading 150° at 200 miles per houra wind from 090° at 24 miles per houra wind from 030° at 40 kilometers per hour
- Mateo pilots an advertising airship over a city.
- Lucas swims across a river 75 meters wide with straight parallel banks, always pointing straight across.
- Campers hang a food bag from a knot between two trees.
- Two tractors pull on chains hooked to one tree stump.
- Naomi flies a crop-dusting plane at airspeed 110 miles per hour.
- An airliner flies 1,200 miles due east from one city to another and then straight back, at airspeed 500 miles per hour both ways.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Forces and velocities as vectors: the lesson ›More Chapter 8 worksheets: Vectors and parametric equations
- 8.1Directed line segments
- 8.2Component form of a vector
- 8.3Magnitude and direction of a vector
- 8.4Unit vectors and i, j notation
- 8.5Scaling a vector
- 8.6Adding and subtracting vectors
- 8.7Forces and velocities as vectors
- 8.8The dot product and the angle between vectors
- 8.9Orthogonal vectors
- 8.10Vector and scalar projection
- 8.11Vectors in space
- 8.12Parametric equations
- 8.13Eliminating the parameter