Two-Dimensional Motion: Projectiles t = 2Ay (2b) a y Note that the AP version of Eq. 2a is written as follows: x = x + tut+ at 2 2 Relevant Equations Ax = Uxt t = 24 a y The above equations are combined to make the following equation for the horizontal range: Ax = Ux 2Ay ay Safety Add these important safety precautions to your normal laboratory procedures: Wear safety goggles. Do not place foreign objects into the launcher. Do not look into the launcher. Do not aim the launcher at others. * Use only what the teacher provides as the plunger. Procedure After you complete a step (or answer a question), place a check mark in the box (0) next to that step. Note: When you see the symbol "" with a superscripted number following a step, refer to the numbered Tech Tips listed in the Tech Tips appendix that corresponds to your PASCO data collection system. There you will find detailed technical instructions for performing that step. Your teacher will provide you with a copy of the instructions for these operations. Set Up 1. O Measure the height of where the projectile will exit the launcher and the spacing between the two photogates. Record these values below.Student Worksheet (S) Height of launcher (m) at projectile exit point: 1. 20m Distance between photogates (m): 2. Place the steel ball into the launcher, and use the push rod or plunger to load the ball as far into the launcher as possible (three clicks). 3. O Hold a piece of cardboard a few centimeters past the second photogate to block the ball. Collect Data 4. O Start data recording. (6.2) 5. 0 Pull up on the yellow cord attached to the trigger to launch the ball. Make sure it strikes the cardboard before it lands on the ground. 6. Stop data recording. (6.2) 7. Record the time between photogates from the data collection system in Table 1 below. 8. Repeat at least five times and record the times in Table 1. Analyze Data witty the 9. O Calculate the average of the time it took for the projectile to pass between the photogates and record in Table 1. Table 1: Time between photogates Time Between Gates. (s) Trial 1 0.02ds Trial 2 0 02 IS Trial 3 O.0205 Trial 4 Trial 5 Average time between gates 0. 020GSTwo-Dimensional Motion: Projectiles Predict Range 10. Using your data, calculate the initial velocity of the ball. Show your work here; 11. 0 Using your data, calculate the range of the ball. Show your work here: Test the Range 12. 0 Tape a sheet of white paper to the floor in front of the projectile launcher at a distance equal to the range prediction calculated above. 13. 0 Place carbon paper over the paper. 14. 0 Align the projectile launcher with the center of the paper. 15. 0 Launch the ball toward the paper at least five times. 16. Remove the carbon paper. Observe the locations where the ball struck the paper