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Speed and Velocity in One and Two Dimensions

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Presentation on theme: "Speed and Velocity in One and Two Dimensions"— Presentation transcript:

1 Speed and Velocity in One and Two Dimensions
Linear Motion in One Dimension Linear Motion in Two Dimensions Speed and Other Scalar Quantities Velocity and Other Vector Quantities Position and Displacement Position and Velocity Graphs Tangents and Instantaneous velocities Displacement and Velocity in Two Dimensions Vector Addition, Cosine Law and Sine Law

2 TeachWithFergy Preview File
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3 Kinematics The study of motion

4 Linear Motion in One Dimension
______________ E.g. Motion of a train along a straight line An object, like a ball, falling freely, vertically under gravity The vertical up and down oscillations of an object suspended from a vertical spring.

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6 Check Your Understanding Ensure SI Units
What is the average speed of a cheetah that sprints 100 meters in 4 seconds? If a ……………………. If your…………………….

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8 Velocity and Other Vector Quantities
In slideshow mode, click the image on the left to see how videos are embedded into the lesson A vector quantity is a quantity with a magnitude and direction. I.e. Displacement, and velocity I.e. 20 km/h [E]

9 Position and Displacement
_____________ Displacement is how far an object is from its starting point Final position – starting position

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11 Velocity _____________
Change of position divided by the time interval for that change

12 Check Your Understanding
A cyclist takes 25.1 s to cover the displacement of 115 m [E] from d1 to d2. (a) Calculate the cyclist’s average velocity. (b) If the cyclist maintains the same average velocity for 1.00 h, what is the total displacement? (c) If the …………………….

13 Think About It Is it possible for the total distance travelled to equal the magnitude of the displacement? If “no,” why not? If “yes,” give an example. Is it possible ……………………. Is it possible for the magnitude of the displacement to exceed the total distance travelled? If “no,” why not? If “yes,” give an example. Can the average ……………………. A truck driver, reacting quickly to an emergency, applies the brakes. During the driver’s 0.32 s reaction time, the truck maintains a constant velocity of 27 m/s [fwd]. What is the displacement of the truck during the time the driver takes to react?

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15 Position and Velocity Graphs – Uniform Motion
For a constant velocity motion (the same velocity is maintained), the position-time graph is a straight line and the velocity-time graph is horizontal. Position-Time Data Position-Time & Velocity-Time Graphs

16 Check Your Understanding
Describe …………………….

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18 Tangents and Instantaneous velocities
Draw …………………….

19 Check Your Understanding
This is the position-time graph for a golf ball rolling along a straight trough which slopes downward from east to west. (a) Describe …………………….. (b) Calculate the instantaneous velocity at t = 3.0s. (c) Determine ……………………. Picture has been removed

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21 Vector Addition, Cosine Law and Sine Law
_____________ Sine Law: Vector Component Addition: Determine all the sum of the x and y components, create a right triangle and solve the hypotenuse using the Pythagorean Theorem

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23 Check Your Understanding
In 4.4 s, a chickadee flies in a horizontal plane from a fence post (P) to a bush (B) and then to a bird feeder (F), as shown below. Find the following: total distance travelled average ……………………. total displacement average velocity

24 Homework Determine the vector sum of the displacements Δd1 = 2.4 m [32° S of W]; Δd2 = 1.6 m [S]; and Δd3 = 4.9 m [27° S of E]. A skater on Ottawa’s Rideau Canal travels in a straight line 8.5 x 102 m [25° N of E] and ……………………. (a) What is the skater’s displacement? (b) What are the skater’s averages peed and average velocity?


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