Definition: MAGNITUDE The extent of dimensions in size, which is applied to things that have width, length and thickness. a : great size or extent b : spatial quality - size, quantity, number The numerical value that is associated with a measurement
Examples: What is the magnitude of each of the following measurements? • • • 926 cm 8. 93 m. L 492 mi/hr - 9. 8 m/s 2 282 m -55 km/hr
Direction • Speed vs Velocity • Distance vs Displacement (Change in position)
Distance vs. Displacement • Travel to Spokane and back • Soccer game
The study of motion will involve the introduction of a variety of quantities that are used to describe the physical world. These quantities can be divided into two categories:
Vectors & Scalars SCALAR: A quantity (as mass or time) that has a magnitude describable by a real number and no direction VECTOR: A quantity that has magnitude and direction - and that is commonly represented by a directed line segment whose length represents the magnitude and whose orientation in space represents the direction
Main Quantities in Physics • Scalar – Distance (DISTANCE travelled) and Speed • Vector – Displacement (change in POSITION) and Velocity
Model: Constant Velocity = slope of position vs. time graph = Rearrange…. v∆t = ∆x = xfinal – xinitial xfinal = v∆t + xinitial
Average Velocity The constant velocity at which the particle would have to travel in order to go from position xi to xf during the time interval ∆t.
Instantaneous Velocity The velocity at specific point in time. (read it off the graph)