CVM Test Review

Please grab a small white board and take out your notes

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

Position (m)

Time (s)

Individual

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?

Position (m)

Time (s)

Individual

5. What direction is the object traveling? How do you know?

6. What is it’s velocity? +/-/0, how do you know?

Position (m)

Time (s)

Class

Which object has a greater speed? How do you know?

What happens at 4 seconds?

Position (m)

Time (s)

A

B

4

Class

Which object has a greater speed? How do you know?

Do the objects ever pass each other? How do you know?

Position (m)

Time (s)

A

B

4

Class

Calculate the displacement from:0-33-66-88-10

Velocity (m/s)

Time (s)

Individual

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

32

10

-1-2-3

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?

Individual

𝑥=𝑣𝑡+𝑥0

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

Individual

𝑥=𝑣𝑡+𝑥0

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?

Individual

𝑥=𝑣𝑡+𝑥0

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

Check

Do 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?

Individual

𝑥=𝑣𝑡+𝑥0

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?

Individual

𝑥=𝑣𝑡+𝑥0

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

Individual

𝑥=𝑣𝑡+𝑥0

Given the following graph:1.Sketch a velocity vs. time graph2.Sketch a motion map

Position (m)

Time (s)

Individual

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

65

43210

Given the following graph:1.Sketch a velocity vs. time graph2.Sketch a motion map

Position (m)

Time (s)

Individual

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

65

43210

Given the following graph:1.Determine the average velocity2.Write the mathematical model that

describes the object’s motion

Position (m)

Time (s)

Individual

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

65

43210

Given the following graph:1.Determine the average velocity2.Write the mathematical model that

describes the object’s motion

Position (m)

Time (s)

Individual

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

65

43210

Homework: Prepare for Success!

Review the worksheets we did the last couple of days.

Review this powerpointThe 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 15

3

Velocity (m/s)

Time (s)0 1 2 3 4 5 6 7 8 9 10 11

2

10

-1-2-3

Answers: Slide 16

3

Velocity (m/s)

Time (s)0 1 2 3 4 5 6 7 8 9 10 11

2

10

-1-2-3

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