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VECTORS!. Oohhhh….ahhhhh…. Velocity, Force, and Acceleration. Velocity, force, and acceleration require two things to be complete: Magnitude (size) Direction These quantities are fittingly called vector quantities. Mass, Volume, and Speed.
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VECTORS! Oohhhh….ahhhhh….
Velocity, Force, and Acceleration • Velocity, force, and acceleration require two things to be complete: • Magnitude (size) • Direction • These quantities are fittingly called vector quantities.
Mass, Volume, and Speed • These are all measurements of magnitude (size), but not _______. • They are all scalar quantities. direction size size + direction
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)
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
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!
Example… • Forces: Connect the tip to tail • Diagonal = Resultant
Example 2… • Which way will he go? Wind Speed Plane Speed Plane’s Direction + Speed