/28 pts Application Go to the "Intro" module of the PhET projectile motion simulator. https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion en.html Intro Screen Investigate the the factors that affect a projectile's trajectory, such as angle, height, initial speed, and air resistance. SEE the spex of EXPERIMENT the trajectory with various projectiles ADJUST cannon INVESTIGATE angle 15' alepel the effects of air and height reststance MEASURE the FIRE projectile time, range, and height of the projectile along PHET : its path Part 1 (8 pts) Maintain the horizontal position of the canon and the initial launch speed of 15 m/'s. Change the height of the cannon to 15 m. Start with no air resistance. Click on velocity vectors "components." At the bottom of the screen, click on "slow" rather than "normal." Ignore the target for this exercise. Fire the projectile with the red button near the eraser. You may pause as you see fit. 1. What do you notice about the horizontal component of velocity as the projectile moves along its trajectory? Explain why this is. (1 pt) 2. Please sketch (rough) the d-t, v-t and a-t graphs for the horizontal motion. (1.5 pts) 3. What do you notice about the vertical component of velocity as the projectile moves along its trajectory? Explain why this happens. (1 pt) 4. Please sketch the d-t, v-t and a-t graphs for the vertical motion. (1.5 pts) Reset the simulation with the orange button on the bottom right and click on the acceleration vectors "components" for the same initial conditions. 5. What do you notice about the acceleration vector components (both vertical and horizontal)? Explain why this is. (1 pt) 6. Launch the projectile at the following speeds (with no air resistance) and fill in the table (Use the blue data collector near the tape measurer at the upper right by dragging the crosshairs over the last point of the projectile's trajectory): (X pt) Initial Speed Range (m) Time of flight (s) 0m/s 10 m/ 15 m/'s 20 m/'s 7. Does the initial horizontal velocity affect the range of the projectile? Use an equation to show why this is so. (1.5 pt) 8. Why does the time of flight not change with a change in initial horizontal velocity? Use equations to show why this is so. (2 pts) 9. Launch projectiles of different masses (golf balls etc) with air resistance off. Did the mass affect the range of the projectiles? Why or why not? (1 pt) Part 2 (12 pts) Now, leave the "Intro" module and go to the "Vectors" module. The cannon should be on the ground rather than on a platform. Click off air resistance for now. Set initial speed at 20 m/s. To launch thePart 2 (12 pts) Now, leave the "Intro" module and go to the "Vectors" module. The cannon should be on the ground rather than on a platform. Click off air resistance for now. Set initial speed at 20 m/s. To launch the projectile straight up, set the angle of the canon to 90 degrees. Click on "slow" at the bottom of the screen. Click on the velocity and acceleration vectors (one at a time). Launch the projectile. (You may have to zoom out to observe the projectile's entire path.) 10. Describe the velocity and acceleration vectors throughout the trajectory. Explain their magnitudes and directions. (1 pt) 11. At the highest point in the projectile's path, which of the following statements are correct? (you may choose multiple answers ) (1 pt) a) acceleration = 0 b) the x component for acceleration = 0 c) the y component for acceleration = 0 d) velocity = 0 e) the x component for velocity = 0 f) the y component for velocity = 0 12. To what height does the projectile reach? How long did it take for the projectile to reach the top of its path? How long did it take for the projectile to come back down from the top of its path? ()6 pt) 13. Was this the same amount of time it took for the projectile to reach the top of its path? Explain why this is so with equations. (1.5 pts) 14. When a projectile is launched at an upward angle (with negligible air resistance), the time it takes to reach the top of its path is the time it takes for it to come back down. (3% pt) a. less than b. more than equal to 15. Now change the mass of the projectile. Did the mass affect the time or maximum height reached? Why or why not? (1 pt) 16. Now click on air resistance and launch the projectile. Why does the projectile not go as high?() pt) 17. Choose a speed to launch the projectile (between 15 and 30 m/s). Speed chosen _m/'s Launch projectiles with no air resistance from the various angles below and record the data: () pt) Range of Trajectory time of flight (s) [m) 80 degrees 65 degrees 50 degrees 45 degrees 40 degrees 25 degrees State which launch angle provided the greatest range. degrees (%% pt) 18. What pattern for the other angles do you see? (1 pt) 19. For a projectile which lands at the same height from which it was launched, there is a range equation which can be derived from the big 5 equations and the trig identity 2sinecose = sin20. Ad, = (Va'sin20)/g. From the range equation, determine the theoretical angle for the maximum range. (1/2 pt) 20. Select a launch angle and then launch different cannonball diameters. Does changing the cannonball diameter affect the range? (X pt)21. Set the initial speed to 30 m/s. Now select air resistance. Fill in the table below.(X pt) Range of Trajectory time of flight (s) [m) 90 degrees 80 degrees 55 degrees 50 degrees 45 degrees 40 degrees 35 degrees 22. Which angle produced the greatest range when there was air resistance? How might a field goal kicker adjust their kicking angle if there is wind and they wish to maximize the range? (1 pt) 23. With air resistance on, select a launch angle and then launch different cannonball diameters. Does changing the cannonball diameter affect the range? Explain the result you found. (X pt) 24. Does changing the launch angle of the object affect the time of its flight? If so, explain why. (1 pt) Part 3 (5 pts) 25. Select the "Lab" Module. With no air resistance, select an object, initial height, initial speed and launch angle and write them here object Initial height Initial speed launch angle Calculate the time of flight, range and maximum height. Show your calculations. Launch the projectile and check your answer. Do they match