Study Guide: Unit 1 Metric, Density, Motion Define the following terms: 1. Density – 2. Speed – 3. Velocity – What are the Units for the following? Density – Mass – Volume – Speed – Velocity – Acceleration – Distance – Time – 4. Acceleration – 5. Distance – 6. Displacement – Write the formula and draw the triangle for the following equations: 7. Density: 8. Speed and Velocity (same formula): 9. Acceleration: 10. What is the difference between distance and displacement? 11.Look at the image on the right. The graduated cylinder shows three liquids and three solids. Write the items in order from least dense to most dense. Least dense_____________________ < ________________________ < ________________________ < ________________________ < ________________________ < ________________________ most dense 12. Fill out the chart: Prefix Symbol Factor Number Factor Word Ex. Kilo- k 1000 thousand Distance and Displacement: 13. Chanice drives her scooter 7 kilometers north. She stops for lunch then drives 5 kilometers east. What distance did she cover? What was her displacement? 14. Tara goes on a camel safari in Africa. She travels 5 kilometers north, then 3 km east, and then another kilometer north. What distance did she cover? What was her displacement (you may need to use a2+b2=c2). Density: Answer the following questions using this prompt: The mass of a toy spoon is 7.5 grams and its volume is 3.2 mL. What is the Density of the spoon? 15.What are you solving for? 16.What are the variables given? 17.What formula do you need? 18.Do you need a triangle? If yes, set it up. 19.Set up and solve the equation. 20. Show the 5 steps from above to solve the following: A screwdriver has the density of 5.5 g/cm3. It also has a mass of 2.3 grams. What is the screwdriver’s volume? 21.Show the 5 steps to solve the following: A mechanical pencil has the density of 3 g/mL. The volume of the pencil is 15.8 mL. What is the mass of the pencil? 22. What is the difference between scalar and vector? 23.Classify the following as either scalar or vector: Density – Speed – Volume – Distance – Mass – Displacement - Time – Velocity – Acceleration – Speed, Velocity, and Acceleration: 24. Sketch the graph of an object at a constant speed: 26.Sketch the graph of an object at rest: 25.Sketch the graph of an object with negative acceleration: 27.Sketch the graph of an object with positive acceleration: 28. Using the 5 steps: How long would it take to travel 115 miles at a speed of 65 mph? 29. In what three conditions are you changing your acceleration? 30.How long would it take a car to accelerate from 5mph to 55mph if its acceleration is 10 mph/s?