Analysis: /1 . Draw a best-fit line (1 mark) /3 . Determine the slope by hand using GRASP (3 marks) 12 State the shape of the graph, and relate the shape to an appropriate physics equation (2 marks) Conclusions Using the information you have obtained from the horizontal and vertical firings, what /2 conclusions can you draw about the horizontal and vertical motions? Hint: relate the motion to acceleration.Physics 20-Projectile Motion Investigation Using the projectile motion simulation found at the following link, complete the two investigations below. http://phet.colorado.edu/en/simulation/projectile-motion Part A: Determine the relationship between horizontal velocity and horizontal distance (range) 1. Choose the Intro Section of the simulation 2. Set the canon height to 5m on the simulation 3. Aim cannon horizontally (i.e. - zero degrees) maintain this angle for part A of the lab 4. Raise the cannon to a height of your choosing (Record this value) 5. Make repeated firings (without erasing the paths) but change the velocity each time by equal increments. Record the initial velocity, horizontal range and flight time using the simulation tool after each firing in the table below. Ensure that your readings are from when the hieght is zero on the tool 7. Draw a position (range) as a function of initial velocity graph. 8. Describe the shape of the graph and explain the significance of the shape. Explain what the graph shape tells you about the type of motion in the horizontal plane. 9. Analyze the graph. Determine the slope of the line and explain the significance (i.e. relate it to a physics equation). Velocities Time and Range For a projectile fired at a height of 5m (2 marks) Initial Velocity (m/s) Flight Time (s) Horizontal Range (m) /2Part C: Straighten the curve and plot the new line. Analyze the graph. Determine the slope of the line and explain the significance (i.e. relate it to a physics equation). Height (m) Flight Time (s) Flight Time (s') 2 (Title) 14 (Label) (Label)The following data relating kinetic energy and speed was speed (m/s) energy (J) obtained for an object. What is the mass of the object? 0 10 40 90 160 250 A quick survey of the data indicates that Ex increases at a different rate than the increase in v. This tells us that a direct relationship is unlikely. The first step is to find the equation that relates Ek, v and m Ex = 1/2 mv We note that Ex is related to v. A graph of Ex Vs v will not produce a line, rather it results in a curve. Normally we would simply recognize that a graph of Ex Vs v results in a curve and we would manipulate the data to produce a line. However, for the purpose of illustration let us plot a graph of Ex Vs v. Ex VS V 250 200 Ex (J) 150 100 50 0 0 2 6 8 10 12 14 16 v (m/s) To produce a linear relationship we can use the equation to guide us. The next step is to rearrange our equation into its slope form. Ex is the vertical axis, v is the horizontal axis and slope = /2 mLAB ASSESSMENT - Process Skills Evaluated Part A Table: Data is complete, well organized and recorded appropriately /2 Graphing Skills appropriate title /1 labeled axes /1 appropriate scale /1 accurate plotting of values /1 line of best fit is sketched /1 Mathematical calculation of slope is completed for each graph using GRASP /3 State the shape of the graph, and relate the shape to an appropriate physics equation /2 Part B and Part C Tables: Data is complete, well organized and recorded appropriately /4 Projectile Motion Lab appropriate title /2 labeled axes 12 L appropriate scale 12 accurate plotting of values 12 line of best fit is sketched (Part C only) /1 Part B: Describe the shape of the graph and describe what the shape tells you about the type of /2 motion in the vertical plane Part C: Mathematical calculation of slope is completed for each graph using GRASP Part C: Describe the shape of the graph and describe what the shape tells you about the type of /2 motion in the vertical plane. Conclusion: Using the information you have obtained from the horizontal and vertical firings, what /2 conclusions can you draw about the horizontal and vertical motions? Mark Reference: Linearizing DataPart B: Determine the relationship between vertical height and flight time . Keep a zero firing angle constant again . Adjust the initial firing velocity to 14 m/'s keep this constant throughout the following steps Fire from multiple heights so choose suitable testing heights that allow you to collect multiple trial data. . Record vertical height and flight time in a suitable table. . Draw a vertical height as a function of time graph of your results. . Describe the shape of the graph and describe what the shape tells you about the type of motion in the vertical plane. (3 marks) Straighten the curve and plot the new line. Analyze the graph. Determine the slope of the line. Graph the data in order to describe the relationship between height vs flight time (4 marks) See rubric for graph requirements. Graph can be created by hand using a ruler or using graphing software like excel. Flight times for projectiles fired horizontally at 14 m/'s from various heights (2 marks) Height (m) Flight Time (s) 12(Title) 14 (Label) (Label) Analysis: . Describe the shape of the graph and describe what the shape tells you about the type of motion in the vertical plane. (2 marks) 12If we plot a graph of Ex Vs v we will get a linear relationship. Adding a third column to energy (J) speed (m/s) v (m /s) the data table we calculate v from v. We 0 then plot the graph. 10 A 40 16 90 36 160 64 250 10 100 Ex Vs v2 250 200 Ex (J) slope rise run 150 slope = (195 -55)J (79 - 21)m /s 100 slope = 2.4 kg 50 0 0 10 20 30 40 50 60 70 80 v (m?/s?) The final step is to calculate the desired value (m). slope = > m m = 2 x slope = 2 x 2.4 kg = 4.8 kg Reference Section Source: Dr. Ron Licht ccGraph the data in order to describe the relationship between range vs vi (4 marks) See rubric for graph requirements. Graph can be created by hand using a ruler or using graphing software like excel. (Title) 14 (Label) (Label) Analysis: /1 . Draw a best-fit line (1 mark) /3 . Determine the slope by hand using GRASP (3 marks) /2 State the shape of the graph, and relate the shape to an appropriate physics equation (2 marks)