To describe movement you must have two things: Origin Position Origin – a reference (start) point, where we begin to take measurements from. Position – the location an object is found away from the Origin.
Distance is the total travel of the object, regardless of the path or direction. Δ d = 3 cm Origin Position It is a scalar value - it is given only as a number for its size with a unit.
Displacement is the overall change in position of an object. It is a vector quantity and must be given with a number for its size, a unit and a DIRECTION. ∆d = 3 cm Origin Position +
The formula for Displacement is found by the final position minus the initial position A change in any quantity is found by final minus initial values. ∆d = d 2 - d 1 initial position (origin) final position delta means “change in” vector
A toy car begins at -1 cm. If the car stops at +3 cm, calculate the distance and displacement of the car. d 1 = -1 cm d 2 = +3 Position ∆d = 4 cm+ Δ d = 4 cm Origin ∆d = d 2 - d 1 ∆d = (+3) - (-1)
Draw a number line to show a car moving from a start of +2 cm and stops at the -3 cm mark. Find the displacement of the car. Origin Position ∆d = 5 cm - d 1 = +2 cm d 2 = -3 ∆d = d 2 - d 1 ∆d = (-3) - (+2)
If you walked around this block, what would your Distance be? ∆ d = 100 m 100 m Δ d = 300m Your Displacement would be? [East] 100 m