PHYS 0110 Lecture 2: Module 2 Notes - velocity, acceleration, constant acceleration kinematics, free fall
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Choose a coordinate system (in 2d, x and y axes) Position r of a point is a vector applied at the origin of coordinates and pointing toward that point. Point at (5,0) is r = (5m)x-hat + (0m)y-hat. Point at (2, -3) is r = (2m)x-hat - (3m)y-hat. Displacement: r is a vector that points from the initial location to the final location. Difference between final position and initial position. Tells what distance and in which direction an object has moved. Displacement describes a change occurred with time, regardless of the actual time taken for that change to occur (disp does not measure time) Initial vector r0: (3 cm)x-hat + (2 cm)y-hat corresponds to point (3, 2) Final vector rf: (-1 cm)x-hat + (2 cm)y-hat corr to point (-1, 2) Vector r = [(-1 - 3) cm]x-hat + [(2 -2) cm]y-hat. Vector r = (-4 cm)x-hat + (0 cm)y-hat. Distance traveled is the full path with all the turns.