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Learn about distance, displacement, velocity, and speed in physics. Explore scalar vs vector quantities with examples and problem-solving techniques. Understand how to calculate and differentiate between these key concepts. Discover the Pythagorean Theorem's relevance in displacement calculations.
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Vocabulary • Distance • Velocity • Speed • Average Speed • Displacement • Acceleration • Scalar • Vector
Distance & Displacement Page 3 in your comp book
Displacement vs. Distance • DISTANCE • the COMPLETE length of the PATH traveled by a moving object • DISPLACEMENT • the length of the STRAIGHT LINE PATHfrom a moving object’s ORIGIN to its FINAL POSITION
Scalar vs. Vector • SCALAR • A measured quantity that has NO DIRECTION • Examples • Distance, Time, Mass, Volume • VECTOR • A measured quantity that HAS DIRECTION • SIGN SHOWS DIRECTION • Example • Displacement
One more thing… • What is the Pythagorean Theorem? • A2 + B2 = C2
Examples Sign of displacement refers to the direction the object is moving . A bird flies 5 meters north, then 7 meters south Distance = Displacement = A ball rolls 5 meters north. Distance = Displacement = A cat runs 8 meters west. Distance = Displacement = 5 m 8 m 12 m +5 m -8 m -2 m
Example • A man drives his car 3 miles north, then 4 miles east. 4 mi East Distance 7 mi 3 mi North Displacement 5 mi Northeast What distance did he travel? What is his displacement from his point of origin?
Brain Break • Vector
Velocity vs. Speed • VELOCITY • change in DISPLACEMENT occurring over TIME • MAGNITUDE and DIRECTION • VECTOR • SPEED • change in DISTANCE occurring over TIME • MAGNITUDE ONLY • SCALAR
How to work a problem • G – given • U – Unknown • E – Equation • S – Substitute • S - Solve
Question 1 • What is the speed of a cheetah that travels 112m in 4s? • G-U-E-S-S-
Average Velocity What does this remind you of? SLOPE OF A GRAPH! What is happening in this graph? INCREASING SLOPE Moving with CONSTANT positive velocity Moving with INCREASING velocity Motionless Object CONSTANT POSITIVE SLOPE CONSTANT ZERO SLOPE