Projectile Motion Lab For all work, assume the acceleration due to gravity is, g = 9.81 m s^-2. Part A: Launching a Projectile Horizontally (1) Go to link (copy/paste): https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html (2) Select Intro. (3) Play with the app by changing the height of the launcher, its angle and the initial speed of the projectile. DO NOT add air resistance. (4) Set the height of the launcher to 10 m. Set the angle to 0. Set the initial speed (viI) to 15 m s^-1. (5) Fire the launcher (using the red fire button) and record the x-displacement by positioning the center of the target to whether the projectile hit the ground. Height of launcher, h = ________ Input initial speed, viI = ________ y-displacement, y = ________ x-displacement, x = ________ Accuracy of x-displacement as measured by target: ________ Using your data from above, you will re-calculate how fast the ball comes out of the launcher. SHOW YOUR WORK CLEARLY ON SEPARATE PAPER. MAKE SURE IT'S ORGANIZED AND CLEAR Q1a) Using the y-motion, show the symbolic kinematic formula, algebra and then calculation that solves for the travel time, t. Include reasons for dropping any terms where necessary. Q1b) Using the x-motion, show the symbolic formula and any algebra and calculation for the magnitude of the initial velocity viC. Q1c) Calculate the percentage difference between the input initial speed, viI, and the calculated initial speed, viC.

Part B: Launching a Projectile at an Angle (1) Erase the trajectory from part A (yellow eraser button). (2) Ensure that the initial height (h = 10 m) and initial speed (vi = 15 m s^-1) remain equal to the quantities given in part A. (3) Position the projectile launcher so that it launches at an angle of 20. (4) Fire the launcher (using the red fire button) and record the x-displacement by positioning the center of the target to whether the projectile hit the ground. Height of launcher, h = ________ Initial speed, vi = ________ y-displacement, y = ________ Measured x-displacement, xM = ________ Angle of launcher, = ________. The initial velocity that the ball leaves the launcher with is the same in both part A and part B. Using this, you will re-calculate the expected x-displacement in part B, xC. SHOW YOUR WORK CLEARLY ON SEPARATE PAPER. MAKE SURE IT'S ORGANIZED AND CLEAR Q2a) First, showing formulae, calculate the initial velocity components of the projectile vix & viy. Q2b) Starting with the proper kinematic formula and showing all methodology, calculate the travel time, t, for part B. Q2c) Showing the symbolic formula, calculate the x-displacement, xC, for part B now that you have the travel time. Q2d) Calculate the percentage difference between the measured x-displacement, xM, and the calculated x-displacement, xC. Q3) For PART A, if the initial velocity is increased, will the ball reach the ground in a time greater than, equal to, or less than the time you calculated? Explain your answer clearly (no calculations). Q4) If this experiment is taken to the moon (g = 1.6 m/s2), explain, discussing time, if and why the distance travelled should be larger, smaller or the same than the distance measured in PART B of this lab. (Clearly explain WITHOUT using any mathematical equations.)

ONCE YOU DID ALL THIS, PLEASE INCLUDE A BRIEF INTRODUCTION ABOUT 3-4 SENTENCES ABOUT THE OVERAL LAB AND WHAT YOU'LL BE LEARNING. THEN BRIEF PROCEDURE OF WHAT WILL BE DONE. AND THEN A BRIEF CONCLUSION ABOUT 2-3 SENTENCES.