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CVM Test Review

- Please grab a small white board and take out your notes

Position (m)

- Fill in the blanks:
- The graph has a __________ fit which means that the object is traveling at a _________ rate.
- Word Bank: constant, decreasing, positive, linear, increasing, non-linear, direct

Time (s)

Position (m)

- Given the graph above:
- 1.What is the independent variable?
- 2.What is the dependent variable?
- 3.What does the slope represent?
- 4.What does the y-intercept represent?

Time (s)

Position (m)

- 5. What direction is the object traveling? How do you know?
- 6. What is it’s velocity? +/-/0, how do you know?

Time (s)

B

A

Position (m)

- Which object has a greater speed? How do you know?
- What happens at 4 seconds?

4

Time (s)

B

Position (m)

A

- Which object has a greater speed? How do you know?
- Do the objects ever pass each other? How do you know?

4

Time (s)

3

2

1

Velocity (m/s)

0

-1

-2

- Calculate the displacement from:
- 0-3
- 3-6
- 6-8
- 8-10

-3

0 1 2 3 4 5 6 7 8 9 10 11

Time (s)

- Ashrita Furman holds several world records. In 2004 he set the world record for the fastest 100m on a space hopper. He traveled at 3.31 m/s on the space hopper. How long did it take him?

- In 2010, he set the record for the fastest mile on a space hopper. It took him 13 minutes flat. What was his average velocity in m/s?
- 1 mile = 1609 m
- 1 minute = 60 seconds

- Ashrita also holds a world record for potato sack racing. In 2007, he raced at an average velocity of 1.607 m/s for 1001 seconds. What distance did he travel?

Fun fact: Ashrita holds the World Record for the most world records held by one person (currently 202)

CheckDo we need more practice with solving constant velocity problems?

- The current fastest airplane is the Lockheed SR-71 Blackbird. It set the record in 1976, with a velocity of 980.4 m/s. If the circumference of the Earth is about 40,000,000m, how long would it take the Blackbird to go around the world in hours?

- To get her world record, Joanne Singleton ran at an average rate of 3.67 m/s for 5745 s (1 hour, 35 min, 45s) dressed as a strawberry. How far did she run?

- Tom Wiberg built and rode the world’s smallest motorcycle. He traveled 10 m in 18 seconds. What was his average velocity?

6

5

4

Position (m)

3

2

1

- Given the following graph:
- 1.Sketch a velocity vs. time graph
- 2.Sketch a motion map

0

0 1 2 3 4 5 6 7 8 9 10 11

Time (s)

6

5

4

Position (m)

3

2

1

- Given the following graph:
- 1.Sketch a velocity vs. time graph
- 2.Sketch a motion map

0

0 1 2 3 4 5 6 7 8 9 10 11

Time (s)

6

5

4

Position (m)

3

2

1

- Given the following graph:
- 1.Determine the average velocity
- 2.Write the mathematical model that describes the object’s motion

0

0 1 2 3 4 5 6 7 8 9 10 11

Time (s)

6

5

4

Position (m)

3

2

1

- Given the following graph:
- 1.Determine the average velocity
- 2.Write the mathematical model that describes the object’s motion

0

0 1 2 3 4 5 6 7 8 9 10 11

Time (s)

Homework: Prepare for Success!

- Review the worksheets we did the last couple of days.
- Review this powerpoint
- The answers are posted after this slide

Answers

- Slide 2: linear, constant
- Slide 3: time, position, velocity, initial position
- Slide 4: negative direction because of negative slope, negative velocity because of negative slope
- Slide 5: B because it has a steeper slope, they have the same position at the same time (they meet, pass, collide, etc.)

Answers

- Slide 6: B because it has a steeper slope, No because they never have the same position at the same time (the lines do not intersect)
- Slide 7: 6m, 0m, -6m, 2m
- Slide 8: 30.21 sec
- Slide 9: 2.06 m/s
- Slide 10: 1608.607m (1 mile)
- Slide 12: 11.3 hours
- Slide 13: 21084.15 m (a half marathon)
- Slide 14: 0.556 m/s (1.24 mph)

Answers

- Slide 17: -4/6 m/s = -2/3 m/s = -0.667 m/s; x = -0.667 t + 5
- Slide 18: 5/10 m/s = ½ m/s = 0.5 m/s;
x = 0.5 t

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