Aim: How do we differentiate between vector and scalar quantities?

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Presentation transcript:

Aim: How do we differentiate between vector and scalar quantities?

Definitions of Vectors and Scalars Scalars are quantities that express magnitude only. Vectors are quantities that describe both magnitude and direction.

Identify whether each quantity expresses a vector or scalar 5 m 30 m/s, east 5 mi, north 20 degrees Celsius 256 bytes 4000 calories

Distance vs Displacement Distance = how far an object has traveled Displacement = how far out of place an object is Which is a vector quantity and which is a scalar quantity?

Distance vs Displacement Problem 1 Calculate the distance. Calculate the displacement.

Distance vs. Displacement Problem 2 Find the distance and displacement of the skier.

Distance vs. Displacement Problem 3 Calculate the distance. Calculate the displacement.

Distance vs Displacement Can the distance ever be equal to the displacement? Why or why not? Can the distance ever be less than the displacement?

Distance vs Displacement Problem 4 4. What is the displacement of the cross-country team if they begin at the school, run 10 miles and finish back at the school?

Distance vs Displacement 5 What is the distance and the displacement of the race car drivers in the Indy 500? (The Indy 500 is a 500 mile race).

Speed and Velocity Speed is distance/time. Velocity is displacement/time. Which quantity is the vector quantity and which quantity is the scalar quantity?