Understanding Motion through Billiard Ball Race Experiment
School
Palm Desert High**We aren't endorsed by this school
Course
CP PHYSICS OBSU
Subject
Mathematics
Date
Dec 12, 2024
Pages
9
Uploaded by ChefQuail2619
Classes Show Inline Ques±on ViewAP Lab 4: Billiard Ball RaceIndividualAssignmentScore: _______/ 95Save & CloseSubmit for GradingLearning Objec±vesProgress: 19/19 Answered Our goal is to apply what we've learned about motion graphs and equations of motion for objects moving at constant velocity. We will:make measurements of the motion of objectsmake a motion graphfind the equation of motionuse the equation to make a predictiontest the predictionPart 1: Predict the outcome of a race1.2.The video below shows three balls rolled along an aluminum track. In this activity, you'll measure the position and time yourself, using a ruler and stopwatch in order to predict which ball would win the race. Video instance not printed.?Watch the video. You'll see that the video stops before the balls reach the finish line. Your goal is to determine the finishing order.Complete this data table and graph and use them to find the equation for motion of each ball.My ClassesJoin ClassHelp CenterSadya Hidayat 9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false1/9
01500.22030.42580.630130.83819±me ( s )Display Curve Fit Uncertain±esposi±on of white ball Curve:posi±on of blue ball Curve:posi±on of white ball vs ±meposi±on of white ball (cm), posi±on of blue ball (cm…00.20.40510152025303540x (white)=At+BA: 28.0scmB: 14.4cmRMSE: 1.10cmr: 0.99412345stcmx (white)cmx (blu±meposi±on of whiteballposi±on of bluball9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false2/9
+Add Another Graph3.4.3 / ∞ submissions usedScore:5/5Comments:posi±on of red ball Curve:Go Back to the Table ↑x (blue)=At+BA: 24.0scmB: −1.00cmRMSE: 0.966cmr: 0.994x (red)=At+BA: 27.5scmB: 4.80cmRMSE: 0.316cmr: 1.00Once you've measured the position of the three balls:make a graph for the position vs time for all three balls on one graph.add a linear fit for each ball.Write the equations for the position vs time function for each of the three balls.y=27.5x+5 (red)y=24x-1 (blue)y=25x+15 (white)Let's check the values you got for the slopes and intercepts for each of the balls in your trial.Enter the value for the slope of the line for the white ball.25This is within the expected range for the velocity of the white ball.9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false3/9
5.4 / ∞ submissions usedScore:5/5Comments:6.1 / ∞ submissions usedScore:5/5Comments:7.1 / ∞ submissions usedScore:5/5Comments:8.What is the vertical axis intercept for the equation for the white ball?15nice work!Use the equation of motion for the white ball to predict the time for the right edge of the ball to reach the finish line.3.2sThe answer to this ques±on depends on your answers toprevious ques±ons.Correct!Next, let's check the values you got for the slope and intercept for the blue ball for your trial.Enter the value for the slope of the line for the blue ball.24This is within the expected range for the velocity of the blue ball.What is the vertical axis intercept for the equation for the blue ball?9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false4/9
1 / ∞ submissions usedScore:5/5Comments:9.1 / ∞ submissions usedScore:5/5Comments:10.1 / ∞ submissions usedScore:5/5Comments:11.2 / ∞ submissions usedScore:5/5Comments:-1nice work!Use the equation of motion for the blue ball to predict the time for the right edge of the ball to reach the finish line.4sThe answer to this ques±on depends on your answers toprevious ques±ons.Correct!Finally, let's check the values you got for the slope and intercept for the red ball for your trial.Enter the value for the slope of the line for the red ball.27.5This is within the expected range for the velocity of the red ball.What is the vertical axis intercept for the equation for the red ball?59/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false5/9
12.1 / ∞ submissions usedScore:5/5Comments:13.Sec±on is LockedPart 2: Tes±ng your predic±on1.1 / ∞ submissions usedScore:10/10Comments:nice work!Use the equation of motion for the red ball to predict the time for the right edge of the ball to reach the finish line.3.27sThe answer to this ques±on depends on your answers toprevious ques±ons.Correct!When you are finished, click the botton below to submit and lock this section. Once you submit this section, you can't modify your prediction so make sure you've completed your prediction before submitting this section.The videos below show the same events as the previous section, but now you can see the entire event. Select trial again and play to watch the entire race.6Video instance not printed.?Use the stopwatch to measure the time when the right edge of the whiteball reaches the finish line.3.4sSubmit AnswerNiceee!9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false6/9
2.1 / ∞ submissions usedScore:10/103.1 / ∞ submissions usedScore:5/5Comments:4.1 / ∞ submissions usedScore:10/10Comments:Calculate the percent difference between the time you predicted for the white ball in part 1 and the time you measured in the previous question. Use the equation:%difference =×actual time∣(predicted time−actual time)∣100-5.88The answer to this ques±on depends on your answers toprevious ques±ons.Submit AnswerUse the stopwatch to measure the time when the right edge of the blueball reaches the finish line.3.7333sSubmit AnswerNiceee!Calculate the percent difference between the time you predicted for the blue ball in part 1 and the time you measured in the previous question. Use the equation:%difference =×actual time∣(predicted time−actual time)∣1007.14The answer to this ques±on depends on your answers toprevious ques±ons.Submit AnswerYes, this is within the expected range.9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false7/9
5.1 / ∞ submissions usedScore:5/56.1 / ∞ submissions usedScore:10/10Comments:7.Use the stopwatch to measure the time when the right edge of the redball reaches the finish line.3.333sSubmit AnswerCalculate the percent difference between the time you predicted for the red ball in part 1 and the time you measured in the previous question. Use the equation:%difference =×actual time∣(predicted time−actual time)∣100-1.89The answer to this ques±on depends on your answers toprevious ques±ons.Submit AnswerYes, this is within the expected range.Make some comment about the differences between your predicted values and the ones you measured. Were they all off in the same direction (Iike the predicted times were all lower values than the actual) or did the direction of the discrepancy vary?seconds, while in reality, it was 3.4 seconds. This meant that my prediction was a lower value than the actual. For the red ball, I predicted it would reach the finish line at 3.27 seconds, but instead, it reached it at 3.33 seconds. However, for the blue 9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false8/9
●Saved8.Based on your response to the last question, are the differences more likely caused by a systematic error (such as friction or a tiled ramp) or random error due to uncertain measurements?I feel like the error was due to uncertain measurements. When I was filling out the chart with the time and measurements, the numbers I put down were not exact and were just a ballpark to the spot where the ball was This meant that the9/21/24, 12:42 PMStudent Response | Pivot Interactiveshttps://app.pivotinteractives.com/assignments/66e4572179b2d1e590115be9/responses?groups=false9/9