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**Reading Assignment: (3.1)**

What is this vector indicating? A velocity with a 1.5 cm component A displacement with a 1.5 cm component A displacement vector with the components (3.0 cm, 4.5 cm) A position vector to a place at (3.0 cm. 4.5 cm)

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Short exercise Draw the picture for the following problem, label, and write an appropriate vector equation: In a dance, you are standing in a spot, and your partner is located 5 steps to the right of you. He takes 5 steps back, 10 steps to his left. Which displacement does he need to undergo to end up beside you?

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Short exercise Draw the picture for the following problem, label, and write an appropriate vector equation: You are observing deer. First, you spot the buck 200m at NNE. A few seconds later, he surfaces again north of you. From the time that has passed you determine that the buck can not have further than 80 m away from the first position. What is the buck’s new position vector?

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**Refinement for average velocity**

Displacement vector Position vector Time t2 Position vector Time t1 observer defines reference point Average velocity: change in position over time Position vectors: bound to a reference point

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You watch a ground hog poke his head out of a hole 20m due North of your position. About 15 s later, he appears at a distance of 45 m West of you. Determine its displacement. Determine its average velocity.

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**Instantaneous velocity**

Direction of average velocity? Strategy: bring the two points closer together.

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**Instantaneous velocity**

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**Instantaneous velocity**

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Velocity vector? Speed? What are those components?

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**Average acceleration Change in velocity? Rate of change in velocity?**

Average acceleration is the average rate of change in instantaneous velocity.

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**Instantaneous acceleration**

Change in velocity?

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**Reading Assignment: (3.2)**

Which of the particles below has zero acceleration? A baseball is flying beyond the playing field for a home run. A child in a Ferris Wheel being spun around at constant speed. A glider is sliding off an inclined air track. A car is slowing down on an icy straight road.

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**A ship’s echo on a radar screen is**

moving according to in which all lengths are in km and times in hours. Find the position at time zero, after 30 min and after 1 hour. Find the velocity as a function of time; then calculate it at time zero, 30 min and 1h. Find the acceleration as a function of time; then calculate the acceleration at zero. 30 min and 1 h. Draw positions into an x-y coordinate system, and indicate the respective velocity and acceleration vectors.

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Example A toy train is traveling around a circular track. Its position changes with time as Find the position of the train after 5 s. Find the velocity of the train after 5 s. y x

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