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**Physics 151 Week 3 Day 2 Topics Motion Diagrams & Motion Graphs**

Motion Definitions Velocity to position Adding and Subtracting Vectors Graphically

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Where’s the train? A train is moving at a steady 30 m/s. At t = 0, the engine passes a signal light at x = 0. Without using any formulas, find the engine's position at t = 1s, 2s, and 3s. Express your reasoning in words. Slide 2-34

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Where’s the train? A train is moving at a steady 30 m/s. At t = 0, the engine passes a signal light at x = 0. Without using any formulas, find the engine's position at t = 1s, 2s, and 3s. Express your reasoning in words. EQUATION FROM GRAPH EQUATION FROM AREA Slide 2-34

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**Checking Understanding 1**

Two runners jog along a track. The positions are shown at 1 s time intervals. Which runner is moving faster? Answer: A Slide 1-21

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Answer Two runners jog along a track. The positions are shown at 1 s time intervals. Which runner is moving faster? A Answer: A Slide 1-22

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**Representations of Motion**

Motion diagram (student walking to school) Table of data Graph Slide 2-9

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**A. B. C. D. Checking Understanding 2**

Here is a motion diagram of a car moving along a straight stretch of road: Which of the following velocity-versus-time graphs matches this motion diagram? Answer: C A. B. C. D. Slide 2-13

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Answer Here is a motion diagram of a car moving along a straight stretch of road: Which of the following velocity-versus-time graphs matches this motion diagram? Answer: C C. Slide 2-14

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**A. B. C. D. Checking Understanding 3**

A graph of position versus time for a basketball player moving down the court appears like so: Which of the following velocity graphs matches the above position graph? Answer: C A. B. C. D. Slide 2-15

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Answer A graph of position versus time for a basketball player moving down the court appears like so: Which of the following velocity graphs matches the above position graph? Answer: C C. Slide 2-16

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**Acceleration Acceleration is: The rate of change of velocity**

The slope of a velocity- versus-time graph Slide 2-20

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**Ball on Ramps (From an Exam)**

A ball is released from rest at the point shown on the incline and speeds up. It then rolls onto a level section of track at constant speed, and then rolls onto a second incline with the same slope as the first where it slows down. The diagram below shows the location of the ball at several instants in time. NOTE: THIS IS NOT A STROBE PHOTOGRAPH OR MOTION DIAGRAM. Describe the motion of the ball as it moves from left to right Determine the average velocity of the ball from t = 2.1 s to t = 3.6 s. Determine the average speed of the ball from t = 0.6 s to t = 5.1 s. Determine the average acceleration, ax, of the ball as it goes up the 2nd incline (from t = 3.6 s to t = 5.1 s). Answer: B

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**Question Velocity vectors point**

in the same direction as displacement vectors. in the opposite direction as displacement vectors. perpendicular to displacement vectors. in the same direction as acceleration vectors. Velocity is not represented by a vector. Answer: A Slide 1-8

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**Answer Velocity vectors point**

in the same direction as displacement vectors. Answer: A Slide 1-9

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Vectors Slide 3-9

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**Adding Vectors Graphically**

Slide 1-33

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**Adding Displacement Vectors**

Slide 1-31

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**Example: Adding Displacement Vectors**

Jenny runs 1 mi to the northeast, then 1 mi south. Graphically find her net displacement. Slide 1-32

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**Find the following resultants graphically**

Adding Vectors Find the following resultants graphically Answer: B Slide 1-7

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Vector Subtraction Slide 3-10

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Acceleration Vectors Slide 3-11

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**Checking Understanding**

Which of the vectors below best represents the vector sum P + Q? Answer: A Slide 3-13

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Answer Which of the vectors below best represents the vector sum P + Q? Answer: A Slide 3-14

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**Checking Understanding**

Which of the vectors below best represents the difference P – Q? Answer: B Slide 3-15

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Answer Which of the vectors below best represents the difference P – Q? Answer: B Slide 3-16

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**Ball on Ramps (From an Exam)**

A ball is released from rest at the point shown on the incline and speeds up. It then rolls onto a level section of track at constant speed, and then rolls onto a second incline with the same slope as the first where it slows down. The diagram below shows the location of the ball at several instants in time. NOTE: THIS IS NOT A STROBE PHOTOGRAPH OR MOTION DIAGRAM. Draw a motion diagram for the following motion On the diagram above, use a delta v diagram to help draw an arrow indicating the direction of the acceleration of the ball at point A. Answer: B

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**Example: Velocity Vectors**

Jake throws a ball at a 60° angle, measured from the horizontal. The ball is caught by Jim. Draw a motion diagram of the ball with velocity vectors. Slide 1-35

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