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12.1 - Distance and Time. 12.1. VOCABULARY time interval slope. Distance is commonly measured in metres (m). Distances between two points can Time (t) is the duration of an event.
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12.1 - Distance and Time 12.1 VOCABULARY time interval slope • 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
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
12.2Speed 12.2 VOCABULARY speed average speed instantaneous speed • 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.
Graphs are used to ***Be sure to really think about what the graph ACTUALLY represents*** Recall x and y
Graphing Distance and Time 12.3 • 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. Do CYU 12.2 p. 350
Graphing Distance and Time 12.3 • 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.
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: The distance travelled between t=0.5hr and t=1.25 hr The average speed over the first 1.75 hr The speed the car is travelling at at t= 0.25 hr and also t = 2.25 hr In words write a description of the cars movement over the 2.5 hr interval in terms of speed, time and distance
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).
Displacement and Velocity 12.4 VOCABULARY scalar quantity displacement vector quantity velocity uniform motion • 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.
12.4Displacement, Time, and Velocity 1 • 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.
Displacement and Velocity 12.4 VOCABULARY scalar quantity displacement vector quantity velocity uniform motion • 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, Time, and Velocity CHAPTER 12 • 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.
Displacement, Time, and Velocity CHAPTER 12 Key Ideas