Distance Traveled by a Projectile 2.; Experiment Inventory Materials Labware Sheet of Carbon Paper Protractor Fishing Sinker Tape Measure Marble *T able Monolament Line *Pencil Ramp *Sheet of Printer Paper * . Masklng Tape 1"You must provide Items marked in 1"red EXPERIMENT 1: DISTANCE TRAVELED BY A PROJECTILE In this experiment, you will use kinematic equations to predict the range of a projectile set in motion. To do this. you will roll marbles down a ramp and off a table to observe vertical and horizontal motion. Note: You will need to construct the ramp [provided in your lab kit} prior to beginning the experiment. To do this, complete the following steps: {D Ramp Set-Up (Figure 4) D 1. Separate the two pieces; one long and narrow piece to provide the ramp. and one wider piece to provide the base. D2. Fold the wider section along the perforations to form a triangular stand. D 3. Insert the tab through the slot to construct a triangular stand (Figure 4. Part 2). D4. Insert the tab on long, narrow piece into one of three slots on the triangular stand. Different slots correspond to different inclines. PROCEDURE F' 4:Ra set foE e' t1 El 1. Find a table upon which to perform the experiment. Place the ramp so "am m up r \"1 \"me" that its bottom edge is positioned at the edge of the table. You will be rolling marbles down the ramp and off the table in this experiment. D2. Use a protractor to measure the incline of your ramp. Record the incline in Table 1. D3. Use a pencil to mark three different locations on the ramp at which you will release the marble. This will ensure the marble achieves the same velocity with each trial. . Create a plumb line by attaching the fishing sinker to the monolilament line. . Hold the string to the edge of the table. and use a piece of masking tape to mark the spot at which the weight touches the ground. Note: The length ofthe plumb line will help you meaSure the exact distance from the edge of the ramp to the position where the marble \"lands". . Begin the experiment by releasing the marble from the rst position you marked on the ramp in Step 3. In other words, release the marble from the highest position which you marked on the ramp. . Carefully observe where the marble hits the ground and place a piece of white printer paper at that location. Secure the paper to the ground with a small piece of masking tape. Make sure the paper can moved when the different ramp positions are tested. Try to center the printer paper over the spot where the marble hit the floor. . Set the carbon paper on the printer paper so that the light side faces up. When the marble hits the carbon paper, it will leave a mark on the printer paper. . Place the marble atthe same drop mark youjust tested and release it. E 10.0bserve and measure the distance traveled to the first mark made on the printer paper using the tape measure. The mark may be faint. but it will be visible. Record this value in Table 1. l: 11. Once you have recorded the distance in Table 1, put an \"X" over the mark you just measured so you do not reuse it. E 12.Repeat Steps 9 - 10 three more times and record your data in Table 1. l: 13.Repeat Steps 6 - 12 for the remaining two ramp distances you marked in Step 2. Record you results for the second ramp distance in Table 2, and the third ramp distance in Table 3. Experiment 1 Data Sheet Table 1: Range and Velocity of Projectile at Ramp Distance 1 Trial Measured Distance (m) Table 2: Range and Velocity of Projectile at Ramp Distance 2 Ramp Distance (m) Trial Measured Distance (m) 2 3 4 Average Table 3: Range and Velocity of Projectile at Ramp Distance 3 Ramp Distance (m) Trial Measured Distance (m) 2AverageExperiment 1 Data Sheet Table 4: Velocity and Range Data for All Ramp Distances Calculated Velocity Ramp Distance {mi {mils} Predicted Range {m} Average Actual Range Percent Error 2-D Kinematics and Projectile Motion PRE-LAB QUESTIONS 1. In one of your experiments, you will roll a marble down a ramp to provide an initial horizontal velocity. Suppose you start the marble at rest (v. = 0 m/s) and it travels a distance of, d, down the ramp. Use 1-D kinematics to predict the velocity of the ball () at the bottom of the ramp. Hint: the acceleration of the ball down the ramp is 9.81*sin(0) m/s where 0 is the angle of the ramp. Record you answer in variables (you will calculate the velocity with magnitudes when you perform the experiment). 2. Use the kinematic equations to derive a general equation for the time it takes a ball dropped from rest at vertical height, h, to reach the ground. 3. Use the result from Question 2 to write a general equation for the distance travelled by a projectile that is rolling off a table of height, h, with a horizontal speed, Vex.2-D Kinematics and Projectile Motion EXPERIMENT 1: DISTANCE TRAVELED BY A PROJECTILE Data Sheet Table 1. Range and Velocity of Projectile at Ramp Distance 1 Ramp Incline (degrees) Ramp Distance (m): Trial Measured Distance (m) 2 3 4 Average Table 2. Range and Velocity of Projectile at Ramp Distance 2 Ramp Distance (m): Trial Measured Distance (m)2 4 Average @eScience Labs, 2018 Kinematics and Projectile Motion Table 3. Range and Velocity of Projectile at Ramp Distance 3 Ramp Distance (m): Trial Measured Distance (m) 1 2_ Post-Lab Questions 1. Use your predictions of velocity and range from the PreLab Questions and the data recorded from your experiment to complete Table 4. Table 4. Velocity and Range Data for all Ramp Distances Ramp Distance Calculated Predicted Average Actual velocity {nus} Range {m} Range {to} Percent Em" 2-D Kinematics and Projectile Motion 2. How do your predictions compare to the observed data? Explain at least two reasons for the differences. 3. If you were to fire a paintball pellet horizontally and at the same time drop the same type of paintball pellet you fired from the paintball gun, which pellet would hit the ground first and why is this so? 4. Suppose you altered your existing ramp so that the marbles had twice their initial velocity right before leaving the ramp. How would this change the total distance traveled and the time that the marbles were in the air? 5. Describe the acceleration of the marble after it leaves the ramp. Use kinematic equations to support your discussion