Observations Note: All measurements need to be recorded in SI Units and contain the correct number of significant digits. Submit an investigation video for each incline angle. Incline 1 Length (hypotenuse) = Height (opposite side) = Angle, 0, = Data Table 1. Trial 1 2 3 4 (Show calculation.) Distance Object Time, At Traveled, s Experimental approximation¹ of the acceleration, a' Average experimental acceleration, a, in m/s² Experimental acceleration due to gravity, g, in m/s² *Show sample calculation. Note: [s = (1/2) a f²] and [a = g sine] 'Refer to the background for the explanation of Equation 6. ACTIVITY 1 Exploring Kinematics Note: All measurements need to be recorded in SI Units and contain the correct number of significant digits. 1. Measure the distance between the centers of the markers on the incline. This is the length of the incline (hypotenuse), the distance r shown on Figure 4. Measure the height of the incline (opposite side to the incline angle), the distance y on Figure 4. The distance y should be the height of the incline above the horizontal. Record these values in the Observation section for Incline 1 (see page 10). (An angle of 2 degrees with an r = 100 cm = 1.00 m would have a y = 3.5 cm = 0.035 m.) Figure 4. Right Triangle 2. Calculate the angle of the incline, and record the value in the Observation section for Incline 1. 3 0 = sin¹ (length of opposite side, y/length of hypotenuse, r)=sin¹ (y/r) Place the steel ball at the marker at the top of the incline. Start your video stopwatch, then release the ball from rest. Stop the video stopwatch after the ball has passed the marker at the bottom of the incline. Return the steel ball to the top of the incline, and use the video stopwatch to time another 3 trials (for a total of 4 trials). 5. Using the playback of your videos, determine the time it takes the steel ball to move between the markers at the top and bottom of your incline. Record these times in Data Table 1. 6. Increase the angle of your incline to approxi- mately 4 degrees by placing another book or other support under one end of your board. 7. Measure the height of your second incline above the horizontal. The length of the incline (hypotenuse) should remain constant. Record these values in the Observations section for Incline 2. 8. 9. Place the steel ball at the marker at the top of the incline. Start your video stopwatch, then release the ball from rest. Stop the video stopwatch after the ball has passed the marker at the bottom of the incline. Return the steel ball to the top of the incline, and use the video stopwatch to time another 3 trials (for a total of 4 trials). 10. Using the playback of your videos, determine the time it takes the steel ball to move between the markers at the top and bottom of your incline. Record these times in Data Table 2. 11. Increase the angle of your incline to approximately 6 degrees by placing another book or other support under one end of your board. 12. Measure the height of your third incline above the horizontal. The length of the incline (hypotenuse) should remain constant. CAROLINA