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Lesson 8 motion.notebook 1 January 20, 2017 MOTION

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Page 1: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

1

January 20, 2017

MOTION

Page 2: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

2

January 20, 2017

Motion using integrals

s(t) is the position function

v (t) = s' (t) so

a (t) = v' (t)

Page 3: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

3

January 20, 2017

Given a particle whose velocity is given by 

If the particle has coordinates s = 2 at time t = 1, find its position function. 

Page 4: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

4

January 20, 2017

Given a particle moving on a coordinate line so its velocity at time t is                    m/s 

Find the displacement of the particle during the time interval

Page 5: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

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January 20, 2017

Page 6: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

6

January 20, 2017

Find the distance traveled by the particle during the time interval

Page 7: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

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January 20, 2017

The skid marks made by an automobile indicate that it's brakes were fully applied for a distance of 160 ft before it came to a stop. Suppose the vehicle in question has a constant deceleration of 20 ft/s2.

How fast was the car moving when it's brakes were first applied? 

Page 8: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

8

January 20, 2017

Page 9: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

9

January 20, 2017

Page 10: Lesson 8 motion.notebook - apcalcdmci.weebly.com€¦ · Lesson 8 motion.notebook 3 January 20, 2017 Given a particle whose velocity is given by If the particle has coordinates s

Lesson 8 motion.notebook

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January 20, 2017

Exercise Set 5.7

Questions 1 ­ 17