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Aim: How can we distinguish between a vector and scalar quantity?. Do Now: What is the distance from A to B? Describe how a helicopter would know how to travel from A to B Distance = 10 km (scalar) Displacement = 10 km East (vector). A. B. N. W. E. 1 unit = 2 km. S. Scalar.
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Aim: How can we distinguish between a vector and scalar quantity? Do Now: What is the distance from A to B? Describe how a helicopter would know how to travel from A to B Distance = 10 km (scalar) Displacement = 10 km East (vector) A B N W E 1 unit = 2 km S
Scalar • Quantities having only magnitude (a number) • Ex: • Distance – 10 m • Mass – 5 kg • Time – 30 s • Speed – 50 m/s • Energy – 500 J
Vector • Quantities having both magnitude and direction • Ex: • Displacement – 10 m East • Velocity – 50 m/s West • Acceleration – 9.8 m/s2 down • Weight or Force – 50 N down
Representing a Vector • A vector is represented by an arrow pointing in a direction and drawn to a selected scale • Ex: 4 m/s South • Determine an appropriate scale 1 cm = 1 m/s
How can we determine angles? N East of North West of North North of East North of West W E South of East South of West West of South East of South S
Draw the Vector 40 N force 40° North of East Scale: 1 cm = 10 N 1st directional word is North Protractor points north N 40 N 40° W E S
Draw the Vector N 120 m/s 65° West of South Scale: 1 cm = 30 m/s 1st directional word is West Protractor points west E W 120 m/s 65° S