Name: _________KEY_____________ Date: ______________________ Period: _____ ID:____ Mr. Beatty General Physics – Unit 1: Motion & Graphing - Test Review Test Dates: Period 2 – Thursday 10/18 1. List the steps of the scientific method. Why do we use controlled experiments? 1. 2. 3. 4. 5. 6. Ask a Question Formulate a Hypothesis Design an Experiment Conduct the Experiment and Collect Data Analyze the Data Draw Conclusions 2. What are the two types of variables? Give an example of each. 1. Independent – Variable that you change a. The number of people in a car 2. Dependent – Reacts based on the other variables a. The mass of the car 3. On which axis should I plot the independent variable? The dependent variable? What axis does time go on? 1. Independent variable is always plotted on the X-axis while the dependent variable is plotted on the Y-axis. 2. Time is placed on the X-axis. 4. What is a line of best fit? What information can I calculate from one? The line of best fit is an overall average of what took place on the graph. The information that you gain from graphing the average is the slope of the line. Define: 5. Distance: A scalar quantity that refers to "how much ground an object has covered" during its motion. 6. Displacement: A vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position. 7. Slope: The rise over the run of a graph. It describes the change in the object over a period of time. 8. Speed: The rate at which position changes; the distance traveled divided by the time taken. 9. Velocity: The vector form of speed; a quantity that specifies both speed and direction. 10.Acceleration: The change of speed over time. Acceleration also takes place due to a change in velocity or a change in direction. Name: _________KEY_____________ Date: ______________________ Period: _____ ID:____ Mr. Beatty Write the Equations: Slope = Velocity= Rise Run Speed= Displacement Time Acceleration= Distance Time Change in Speed Time Solve: 11. What is the speed of a car that travels 300 miles in 5 hours? The next day he travels 200 miles headed back towards home. He traveled for 3 hours the second day. What was his average velocity for the whole trip? Looking For Given Relationship Solution Average Speed Distance: 300 miles Time: 5 hours Speed = d/t Speed = 300 mi / 5 hours Speed = 60 miles/hour Looking For Given Relationship Solution Average Velocity Distance: 500 miles Displacement: 100 miles Time: 8 hours Velocity = d/t Velocity = 100 mi / 8 hours Speed = 12.5 miles/hour 12. A cat runs at 2 m/sec. How far will the cat get in 35 seconds? Looking For Given Relationship Solution Distance Speed: 2 m/s Time: 35 seconds Distance = s*t Distance = 2 * 35 Distance = 70 m 13. How long will it take a person running 5 mph to run a 26 mile marathon? Looking For Given Relationship Solution Time Distance: 26 miles Speed: 5 mph Time = d / s Speed = 26 miles / 5 mph Time = 5.2 hours Name: _________KEY_____________ Date: ______________________ Period: _____ ID:____ Mr. Beatty 14. What is your rate in meters/second if you run a total of 565 meters in 200 seconds? Looking For Given Relationship Solution Average Speed Distance: 565 meters Time: 200 seconds Speed = d / t Speed = 565 m / 200 s Speed = 2.83 m/s 15. A bicyclist travels 60.0 kilometers North in 3.5 hours. What is the cyclist's average speed? What is his average velocity? Looking For Given Relationship Solution Average Speed Distance: 60 km Time: 3.5 hours Speed = d / t Speed = 60 km / 3.5 hrs Speed = 17.14 km/hr Looking For Given Relationship Solution Average Velocity Displacement: 60 km North Time: 3.5 hours Velocity = d / t Velocity = 60 km N / 3.5 hrs Speed = 17.14 km/hr North 16. How much time would it take for the sound of thunder to travel 1,500 meters if sound travels at a speed of 330 m/sec? Looking For Given Relationship Solution Time Distance: 1,500 meters Speed: 330 m/s Time = d / s Speed = 1,500 m / 330 m/s Time = 4.54 seconds 17.Draw a situation where an object’s distance and displacement are different? Name: _________KEY_____________ Date: ______________________ Period: _____ ID:____ Mr. Beatty Graphing: Explain in your own words the necessary steps to completing a graph. 1. 2. 3. 4. 5. Identify Dependent and Independent Variables Pick a scale to place on each axis. Plot the scale on each axis. Plot the data points on the graph. Connect the points on the graph both point to point, and through the use of a line of best fit. Graphing 7. The graph a. b. c. d. to the right shows an object that moved at a constant speed. decreased its speed increased its speed. was at rest. 8. The graph to the right shows an object that a. moved at a constant speed. b. decreased its speed c. increased its speed. d. was at rest. 9. Sketch the distance-time graph corresponding to the following descriptions of the motion of an object. The object moves with a steady (constant) velocity away from the origin. 1. What is the relationship between the distance and time in the graph? Velocity or Speed 2. What type of motion is described by Object A? Constant Away 3. What type of motion is described by Object B? Constant Towards 4. Which object is moving with greater speed? Object B, Greater Slope 5. Which object is moving away from the origin? Object A 6. Which object has a greater acceleration? Neither Object is accelerating Name: _________KEY_____________ Date: ______________________ Period: _____ ID:____ Mr. Beatty The graph in Figure 1 shows data for two objects that start from rest and travel in a straight line. Interpret the graph to answer the following questions. 1. What does each point plotted on the graph in Figure 1 represent? An objects position at a given point in time 2. What does line A tell you about the speed at which object A moved? Constant Velocity 3. What does line B tell you about the speed at which object B moved? Varied Speed Throughout 4. The lines that connect plotted points on a graph are called the curve of the graph. What can you tell about the way object B moved from looking at the curve? Varied Speed Throughout… Fast Slow Fast 5. Which object moved faster for 50 meters? How do you know? Object B because it rose higher in a shorter amount of time 6. What was object A’s speed? Show your calculations. Speed = Distance / Time Speed = 60 m / 20 s = 3 m/s 7. What was object B’s speed from start to point b? From point b to point c? From point c to point e? Show your calculations. Start – B: 25 m / 4 s = 6.25 m/s B – C: (35 – 25) / (7 – 4) = 10 m / 3 s = 3.33 m/s C – E: (60 – 35) / (10 – 7) = 25 m / 3 s = 8.33 m/s 8. What was the average speed of object B from start to point e? 6.25 m/s + 3.33 m/s + 8.33 m/s = 17.91 m/s Average: 17.91 m/s / 3 = 5.97 m/s Name: _________KEY_____________ Date: ______________________ Period: _____ ID:____ Mr. Beatty Data Table 1 shows the speed of object C at different times as it moves. Use the information in Data Table 1 to plot a curve on the graph in Figure 2. Fill in the third column on the data table by calculating the speed of the object during each interval. Data Table 1 Distance (m) Time (s) Speed (m/s) 15 3 5 m/s 40 5 12.5 m/s 50 9 2.5 m/s 55 17 0.625 m/s 70 20 5 m/s Figure 2 Movement of Object C