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Understanding Vector Quantities: Velocity, Force, and Acceleration in Motion

Explore the fundamentals of vector quantities, including velocity, force, and acceleration. These quantities are defined by both magnitude (size) and direction, distinguishing them from scalar quantities like mass and volume. Vectors are represented visually using arrows, illustrating both the direction and magnitude of the quantities. Learn how to add and subtract vectors, whether they are aligned or not, and discover the concept of resultants—critical for understanding motion in two dimensions, such as determining the resulting path of an object affected by multiple forces.

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Understanding Vector Quantities: Velocity, Force, and Acceleration in Motion

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Presentation Transcript

  1. VECTORS! Oohhhh….ahhhhh….

  2. Velocity, Force, and Acceleration • Velocity, force, and acceleration require two things to be complete: • Magnitude (size) • Direction • These quantities are fittingly called vector quantities.

  3. Mass, Volume, and Speed • These are all measurements of magnitude (size), but not _______. • They are all scalar quantities. direction size size + direction

  4. Vector, oh Vector • Pictures are often better than words – so we use vectors. • Once again…a vector is a representation of any vector quantity (velocity, force, acceleration) by an arrow. • It shows direction (which way) • It shows magnitude (how much)

  5. Vectors are used when adding and subtracting velocities • If the vectors are in line it’s easy… 5 N + 10 N = 15 N 10 N - 5 N = 5 N

  6. Resultants • If the vectors are not in line, it gets slightly tricky. • Bring the tail of one vector to the tip of the other • From the origin, draw a diagonal line – this is the resultant, or result of the two forces coming together. It’s motion in two dimensions baby!

  7. Example… • Forces: Connect the tip to tail • Diagonal = Resultant

  8. Example 2… • Which way will he go? Wind Speed Plane Speed Plane’s Direction + Speed

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