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BELLWORK 9/11/17 HOW MANY SIG FIGS ARE IN THE FOLLOWING MEASUREMENTS?
A) m B) 5.00g C)1250m D) 105g E) 3500m
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Chapter 2-1 Displacement and Velocity
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Motion in One Dimension
In this chapter, we will only be dealing with motion in one dimension. Ex: A train moving either forward or backwards along the tracks. It cannot move left and right and up and down. In further chapters, we will discuss motion in two dimensions.
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Point A --------> Point B
Frame of Reference Motion takes place over time and depends on the frame of reference. In order to measure the distance of an object we must use a frame of reference. Point A > Point B - Your frame of reference is a point which remains fixed for the problem in question and has an origin,(starting point) from which the motion is measured.
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Displacement is the shortest distance between the starting point and the ending point.
A change in position Δ x = xf - xi
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Turn to Page 41 in your books
What will you select as the frame of reference to measure the gecko’s displacement? What is the gecko’s displacement in Figure 2?
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Displacement vs. Distance
If the gecko in Figure 2 traveled from the 24.5 cm mark to the 85.5 cm mark Displacement = 61.0 cm and Distance = 61.0cm BUT If the gecko traveled from the 24.5 cm to the 85.5 cm, and returned back to the 24.5 cm mark Displacement = 0 and Distance = cm
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Round trips If you return to the starting point (round trips) the displacement will always be = 0. Displacement is: How far away you are from where you started.
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What is the runners Displacement? Distance?
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Displacement can be + or (-)
See Table 1 on Page 42 To the right , east, upward, or north = Positive To the left, west, downward, or south = Negative
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Velocity is speed in a given direction
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Vavg = Δx (xf – xi) Δt (tf – ti) **ADD formula to your index card
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Units Displacement – SI unit for length is meters
Time – SI Unit for time is seconds (Velocity) – SI unit is m/s.
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Units **Since displacement can be either positive or negative, velocity has to have a direction on your answers; indicating the direction in which the object is traveling.
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CLASSWORK PAGE 44 #’S 1-6
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BELLWORK 9/18/17 Round your answers using the rules for sig figs.
( ) / 12 =
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ANSWER 5.6
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Vectors vs. Scalars The mathematical quantities that are used to describe the motion of objects can be divided into two categories. The quantity is either a vector or a scalar. These two categories can be distinguished from one another by their distinct definitions:
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Vectors vs. Scalars Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction
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Vectors vs. Scalars Velocity is a vector quantity that has a magnitude (numerical value) and a direction. Speed has no direction (scalar quantity) Displacement is a vector quantity that has a magnitude and a direction. Distance is a scalar quantity (no direction)
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Checkpoint 5m 30m/s, east 5 mi, north 20 degrees celsius 256 bytes
4000 calories Vector or Scalar
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Checkpoint Answers 5m 30m/s, east 5 mi, north 20 degrees celsius
256 bytes 4000 calories Scalar Vector, has a direction Vector; has a direction
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Speed vs. Velocity Just as distance and displacement have distinctly different meanings (despite their similarities), so do speed and velocity. Speed is a scalar quantity that refers to how fast an object is moving. Speed can be thought of as the rate at which an object covers distance.
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Speed Formula: speed = distance time
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CHECKPOINT While on vacation, Jamie traveled a total distance of 440 miles east. Her trip took 8 hours, what was her average speed?
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ANSWER Speed avg = distance time Speedavg = 440 mi 8 hrs
This was just her average speed. She may have been traveling 70 mi/hr at some points, or she may have even stopped for food.
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Average Velocity vs. Instantaneous Velocity
Since a moving object often changes its velocity during its motion, it is common to distinguish between the average velocity and the instantaneous velocity. The distinction is as follows. Instantaneous Velocity - the velocity at any given instant in time. Average Velocity - the average of all instantaneous velocities; found simply by a displacement / time ratio.
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Instantaneous Velocity can be calculated graphically
The instantaneous velocity at a given time can be determined by measuring the slope of the line that is tangent to that point on the p-t graph.
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Turn to Page 46 Look at Figure 7 and copy the graph on a sheet of graph paper. Show how the instantaneous velocity is 12 m/s t=3.0s
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SUMMARY What is the difference between a vector and a scalar quantity?
What is the difference between distance and displacement? Which one is a vector quantity? What is the difference between speed and velocity? Which one is a vector quantity? What is the formula for average speed? average velocity?
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Pre-Lab – Physics 400 Find a Lab group of 4 Read the lab
Work on Step #2 Construct your data table
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