Does the initial velocity of an object in free fall have anything to do with the acceleration due to gravity? In not more than 3 sentences, explain your answer.

Investigate how the value of g varies around the world. Does altitude affect the value of g? What other factors cause acceleration to vary at different locations? How much can g vary at a location in the mountains compared to a location at sea level? Give actual values of g and their locations.

MATERIALS: Smartphone, phyphox (physical phone experiments) application software, coin, ruler/plank, meter stick, tray, hitting stick METHODOLOGY: SETTING UP THE MATERIALS OF THE EXPERIMENT: P!\" On an elevated surface (i.e. table), position the ruler/plank so that almost 1/4 of its end is suspended from the table as shown in the figure below. Place a coin on the edge of the suspended end of the ruler. Make sure that a part of the coin is extruding beyond the edge of the ruler. Place the tray on the ground directly below the coin to catch it when it falls to the ground. Measure the vertical distance starting from the floor to the edge of the table. Record this measurement in meters on your data table. Figure 1: Set-up of Freefall experiment. (See references for complete attributions). EXPERIMENT PROPER: 1. Access the phyphox app on your smartphone. Scroll down to the timers and click on the acoustic stopwatch. Choose Simple mode on the toolbar located on the upper lefthand side of your screen as shown in the figure below. The Threshold is tlLe environmental noise level that ranges from O to 1 a.u. To ensure that the timer will only record the sound from the experiment, adjust the Threshold value to 0.5 a.u. Press the play button ( ) on the Acoustic Stopwatch. The timer will only start when your device captures the trigger sound when you hit the ruler with the stick, and it will end when the coin hits the tray. Place your smartphone on the table parallel to the ruler. Make sure that the microphone is near the source of the noise. To start your data collection, hit the ruler forcefully from the side to move it away from the suspended coin. This will be the start sound (sound 1). Allow the coin to fall to the tray on the ground. When the coin hits the tray, it will produce another noise (sound 2) to trigger the microphone to end the data collection. Record the time collected by the stopwatch up to 3 decimal places on your data table. 8] Press the reset button to prepare the stopwatch for the next data collection. Repeat steps 3-8 to two more trials for this vertical height. 9. Repeat the entire experiment for 5 different vertical heights with 3 trials each. DATA TABLE Determining the average time of flight at variable height. Member VerticalDistan Names ceAy ("1) Trial 1 Trial 2 Trial 3 (Arrange from smallest to longest distance) 0.74m 0.388 m 0.386 0.386 0.397 0.395 0.395 0.412 0.41 0.41 . . 0.368 0.30.368 . . 0.376 0.376 0.375 Determining the value of acceleration due to gravity. A B R squared Coefficients 4.7388 0.0563 0.9897 Acceleration due to gravity from y = 4.7388x + quadratic equation, m/s2 0.0563x experimental value of g = 9.48 m/s/s Percent Error (%) 9.8 m/s^2 - (4.7388 * 2) 9.8 m/s^2 = 3.29 % Using the Average time, compute for the final velocity of the coin in each vertical distance. Vertical Distance Ay Velocity 0.48 m -3.03 m/s 0.52 m -3.25 m/s 0.66 m -3.61 m/s 0.70 m -3.68 m/s 0.74 m -3.78 m/s 0.76 m -3.87 m/s 0.81 m -4.02 m/s Chart Title 0.9 0.8 y = 4.7388x2 + 0.0563x R= = 0.9897 0.7 0.6 0.5 0.4 0.1 0 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.451. Is the measured value of g from your experiment close to the accepted value of 9? Discuss the possible sources of error in the experiment? Are these random errors or systematic errors? (5 points) The experimental value of 9 that we got from our experiment, which is 9.48 m/s2 is relatively close to its theoretical value. We obtained a low percent error of 3.29% which meant that there are miniscule errors in our execution of the experiment. In our data, we observed variations in the produced values. This could be a result of inconsistencies of our instruments' reaction to the sound given off by the coin. Additionally, incorrect measurement of vertical distances from which the coin is dropped could account for another cause of error. 2. Does the initial velocity of an object in free fall have anything to do with the acceleration due to gravity? In not more than 3 sentences, explain your answer. (5 points) 3. Investigate how the value of g varies around the world. Does altitude affect the value of 9? What other factors cause acceleration to vary at different locations? How much can 9 vary at a location in the mountains compared to a location at sea level? Give actual values of g and their locations. (5 points)