Download - 12.1 - Distance and Time
![Page 1: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/1.jpg)
• Distance is commonly measured in
metres (m).
• Distances between two points can
• Time (t) is the duration of an event.
• Time is often referred to as a and given the symbol t.
DO QUESTIONS 1-7 pg. 345 CYU
12.1 - Distance and Time12.1
VOCABULARY
time interval
slope
![Page 2: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/2.jpg)
Period & Frequency
• A period (T ) is , such as
a pendulum swinging.
• It is related to frequency as:
Read Sample Problem #1 p. 343 then DO CYU #8-10 p. 345
![Page 3: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/3.jpg)
• By relating time and distance, we can determine speed, which is the distance an object travels (d) divided by the time interval (t).
• The average speed of an object is the total distance the object travelled divided by the total time taken.
• Instantaneous speed
• For an object travelling at a constant speed (i.e. uniform motion), the average speed is equal to its instantaneous speed.
12.2Speed12.2
VOCABULARY
speed
average speed
instantaneous speed
![Page 4: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/4.jpg)
Graphs are used to
***Be sure to really think about what the graph ACTUALLY represents***
Recall x and y
![Page 5: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/5.jpg)
• A distance–time graph has distance on the y-axis and time on the x-axis.
• The slope of a line on a distance–time graph is .
• The units for the slope would be metres/second (m/s), the same as speed.
Graphing Distance and Time12.3
Do CYU 12.2 p. 350
![Page 6: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/6.jpg)
• We can calculate the instantaneous speed of an object at a particular time by calculating the
to the line of the distance–time graph of the object’s motion.
Graphing Distance and Time12.3
![Page 7: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/7.jpg)
• Just as we can use distance and time data to construct a graph, we can derive information about distance, time, and speed from a graph.
Calculate:1.The distance travelled between t=0.5hr and t=1.25 hr2.The average speed over the first 1.75 hr3.The speed the car is travelling at at t= 0.25 hr and also t = 2.25 hr4.In words write a description of the cars movement over the 2.5 hr interval in terms of speed, time and distance
![Page 8: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/8.jpg)
12.4-Displacement, Time, and Velocity• Quantities can be either scalar
or vector.
• Scalar quantities only have magnitude, which is a number with a unit.
• Vector quantities have both a magnitude and a direction.
• An object’s speed and velocity can be described in different ways.
• For example, average speed or velocity, instantaneous speed, and uniform motion (constant speed or velocity).
![Page 9: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/9.jpg)
• Distance and displacement are similar, but not identical concepts in science.
• Distance is a scalar quantity (magnitude only).
• Displacement is a vector quantity (magnitude and direction)
• The displacement of an object is its change in position in relation to a point of reference.
Displacement and Velocity12.4
VOCABULARY
scalar quantity
displacement
vector quantity
velocity
uniform motion
![Page 10: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/10.jpg)
12.4Displacement, Time, and Velocity• The motion of an object can be
described by displacement, time, and velocity.
• Distance and displacement are similar but not identical concepts in science.
• Speed and velocity are also similar but not identical concepts.
1
![Page 11: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/11.jpg)
• Speed and velocity are also similar, but not identical concepts.
• Speed is a scalar quantity (magnitude only).
• Velocity is a vector quantity (magnitude and direction).
• Velocity is the rate of change of displacement and is given by the equation:
• The slope of the line of a position–time graph is equal to the velocity of the object.
Displacement and Velocity12.4
VOCABULARY
scalar quantity
displacement
vector quantity
velocity
uniform motion
![Page 12: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/12.jpg)
Displacement, Time, and Velocity• Distance–time graphs and position–time
graphs can visually display information about an object’s motion.
• The slope of the line is equal to the speed or velocity of the object.
• If the slope of the line is changing, the speed or velocity is not constant.
• If the slope the line is constant, the object is travelling at constant speed or velocity.
12CHAPTER
![Page 13: 12.1 - Distance and Time](https://reader033.vdocuments.mx/reader033/viewer/2022051218/568159e3550346895dc72e54/html5/thumbnails/13.jpg)
Displacement, Time, and Velocity12
Key Ideas
CHAPTER