Lab 4: Projectile Motion PART I: Effect of launch angle You can use the following link: http:/ /Rhetcoloradoedufen/simulation/projectile-motion Before you begin experimenting take a few minutes to familiarize yourself with the simulation. Pay special attention to the maximum height that can be attained. 1. Look at the \"height\" box at the top. What \"Linear Motion\" term does it actually stand for? Hint: shoot the cannon once and watch the height number closely: distance (scalar) or displacement (vector) 2. Fire the projectile launcher straight upwards (angle = 90) at 18 m/ s. Record the following information: a) Time: b) Horizontal distance (range): c) Vertical distance (height): 3. Pick any initial speed and launch angle, and fire the both the golf ball and tank shell: [Note the default for the mass: How does the mass of an object affect its motion through the air? Give the following information & NOTE HOW MASS IS AFFECTING THE PROJECTILE MOTION: Golf Ball 2 trials with 2 different angles: Tank shell ---2 trials with 2 different angles: Time: Time: Time: Time: Range: Range: Range: Range: Height: Height: Height: Height: Mass: Mass: 4. You are now going to investigate the effect of launch angle on several different parameters; air time, maximum height, and range. a) Fire the projectile launcher at the following angles (with the same initial speed of 18 m/ s and any other variables that default), then fill in the table below. You will need to use the measuring tape to measure the maximum height and the range. Angle Initial Spee Air Time Maximum Range (m) (m/s) (3) Height (m) 100 18 30 18 40 18 50 18 60 18 70 18 80 18 90 18 b) What is the best angle for maximum height and air time? c) Is there a direct relationship between air time and range? {Look at your data & \"notice\" if range 8: time are doing the same thing ........ }. d) Which of your angles above gave the most range? e) Rank your angles above from smallest to largest for their velocities. Is there a direct relationship (Hint: direct means that the variables do the same thing!) between the velocity of a projectile and its range? f) Look at the data & find the two launch angles that add to E which give the same range: 5. Keep the mass at 5 kg; angle at 25; Change the initial speed to: 1) 30 m/s; 2) 40 m/s; 3) 50 m/s. a) Note what happens with the initial velocity (vi) and record: Initial Velocity Range Total Time 1. Does varying the initial speed affect your results? Why do you think this is the case? 2. Describe the shape of all of the projectiles for the change in initial speed. b) What effect does doubling the initial speed/ velocity have on the range of the projectile? Explain your results. [Change the velocity to 60 m/ sec and compare your results to 30 m/ sec] 6. Reset the cannon back to the ground. This time, check the Air RCSiStance box. You can leave the drag coefficient and altitude at 1 and 0 where they are by default. Keep the red target on the xaxis as it was before. Start with the tank shell as your projectile. a) What effect does the mass of an object have on the maximum height and range when air resistance is turned on? Explain. b) What is the best angle for maximum range for the tank shell at an initial speed of 18 m/ s when air resistance is turned on? Is this result different than when there was zero air resistance? Explain your results. c) Find the best angle for maximum range (when the object hits your target) with four different objects. **Be sure to have air resistance on. Record this information in the table below: Object Mass (kg) Angle for maximum range d) Is the angle for maximum range dependent on the mass of an object when air resistance is turned on? PART II: Golf Range 1. Be sure the follOWing are set: TRIALS AND NO AIR. You will be changing the initial velocity to try to HIT THE HOLE-IN-ONE. 2. Move the GREEN to the Position as directed in the data table and set the Launch Angle as directed on the data table. 3. Click on: LAUNCH. IF you do not hit a HOLEINONE. Then, redo the initial velocity until you hit the Hole-InOne. 4. Record the FINAL VELOCITY in the data table that you obtained to get the HOLEINONE. 5. Repeat steps # 24 using the AIR option. LAUNCH ANGLE: 30 DEGREES POSITION (METERS) VELOCITY (In/sec) VELOCITY (In/sec) AIR LAUNCH ANGLE: 45 DEGREES POSITION (METERS) VELOCITY (mfsec) VELOCITY (mfsec) NO AIR AIR 200 400 1. Which above angle gave you the maximum range? 2. How does the range achieved compare with air 8: without air? 3. How did you have to modify the velocities to hit the HOLE-IN-ONE when air resistance was present