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Motion & Its Applications:

This guide explains the fundamental differences between vectors and scalars, with vectors possessing both magnitude and direction, while scalars only have magnitude. Examples include scalar quantities like time and mass and vector quantities like displacement and force. It also discusses average speed, defined as distance traveled over time, and average velocity, defined as displacement over time. Practical examples are provided to calculate average speed and average velocity in standard SI units, aiding in understanding motion's quantitative aspects.

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Motion & Its Applications:

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  1. Motion & Its Applications: Vectors & Scalars

  2. Vectors vs. Scalars • Scalars: Any quantity that has only magnitude. • i.e: 30 sec., 59kg and 10m • Vector: Any quantity that has both magnitude AND direction. • i.e: 30m [Up], 5m/s [W] and 200N [Down]

  3. Comparing traditional measured quantities: • Note: All vectors must be represented using harpoon notation. i.e

  4. Average Speed & Velocity • Average Speed: The distance an object travels over a certain time interval. • Average Velocity: The displacement an object travels over a certain time interval. (Distance) (Time) (Displacement) (Time)

  5. Eg.3: Calculate the average speed in each of the following, express answer in SI. • A jogger takes 14s to run 88m. • A truck travels 425 km in 4.65h • Eg.4: A jogger takes 3.5 min to run once around a square city block that is 220m on each side. Express in SI. • What was the jogger’s average speed? • What was the jogger’s average velocity?

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