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CVM Test Review. Please grab a small white board and take out your notes. Individual. Position (m). Fill in the blanks: The graph has a __________ fit which means that the object is traveling at a _________ rate.
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CVM Test Review • Please grab a small white board and take out your notes
Individual 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)
Individual 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)
Class 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)
Class B A Position (m) • Which object has a greater speed? How do you know? • What happens at 4 seconds? 4 Time (s)
Class 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)
Individual 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)
Individual • 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 • 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 • 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?
Individual • 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 • 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 • Tom Wiberg built and rode the world’s smallest motorcycle. He traveled 10 m in 18 seconds. What was his average velocity?
Individual 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)
Individual 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)
Individual 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)
Individual 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 15 3 2 1 Velocity (m/s) 0 -1 -2 -3 0 1 2 3 4 5 6 7 8 9 10 11 Time (s)
Answers: Slide 16 3 2 1 Velocity (m/s) 0 -1 -2 -3 0 1 2 3 4 5 6 7 8 9 10 11 Time (s)
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