Measurements: Inclined plane angle 0 = 19.801' Ball diameter = 0.013 m Delta Y = 76 cm = 0.76 m Time (s) Velocity (m/s) Delta X (m) 0. 00707 0. 184 0.654 0.007186 0. 181 0.648 0.007084 0. 184 0.65 0.007188 0. 181 0.646 0.008981 0. 186 0.653 0.007254 0. 179 0.703 0.007074 0. 184 0. 67 0.007066 0. 184 0.627 0.00704 0. 183 0.61 0.007063 0. 184 0.665 Mean 0.0073006 0. 183 0.6526 Standard deviation 0.000564143 0.001949359 0.023538054 Quick description In this lab you will study two-dimensional motion, specifically projectile motion. You will roll a ball down an inclined plane (a track with one end propped). The ball will fly off the end of the inclined plane and undergo projectile motion until it hits the ground. At the moment the ball is leaving the inclined plane, a photogate detector measures the time the ball takes to pass through the gate. Using the diameter of the ball and the photogate time, you can calculate the speed of the ball when it passed through the photogate. Based on the angle of the inclined plane, the initial speed for the projectile motion, and the distance the ball falls (Ay in figure), you should be able to predict the horizontal distance (Ax in figure) and compare it to your measured horizontal distance. Ball 89 Angle of Inclination @ Photogate sensor 121 em $1CM In d Plane Table 46CM Ay 4 x Take your ten photogate time measurements, and convert them to speed values using the ball diameter. For the ten speed values, calculate a mean and a standard deviation. s = d 1. 121 Show the calculation of your inclined plane angle. 1. 490 30 Use your mean measured speed, your inclined plane angle, your measured Ay, and your knowledge of the equations of projectile motion to make a prediction of the expected Ax. Show the details of this calculation in your report. For your ten Ax measurements, calculate a mean and a standard deviation. Compare the measured Ax to the predicted Ax. Give a percent error and discuss the degree of agreement or discrepancy. Discuss possible reasons for the discrepancy