# Complete The Following Carolina

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Activity 1: Graph and interpret motion data of a moving object (15 minutes) Activity 2: Calculate the velocity of a moving object (20 minutes) Activity 3: Graph the motion of an object traveling under constant acceleration (20 minutes) Activity 4: Predict the time for a steel sphere to roll down an incline (10 minutes) Activity 5: Demonstrate that a sphere rolling down the incline is moving under constant acceleration (20 minutes

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Kinematics Student Name Date Activity 1: Graph and interpret motion data of a moving object Activity 1. Table 1 Time (x axis) (seconds) Position (y axis) (meters) 0 0 5 20 10 40 15 50 20 55 30 60 35 70 40 70 45 70 50 55 Insert your graph here for Distance vs Time of a Moving Object. Questions for Activity 1 Question 1: What is the average speed of the train during the time interval from 0 s to 10 s? Question 2: Using the equation: , calculate the average speed of the train as it moves from position x = 50m to x = 60m. Question 3: What does the slope of the line during each time interval represent? Question 4: From time t = 35 s until t = 45 s, the train is located at the same position. What is slope of the line while the train is stationary? Question 5: Calculate the average speed of the train as it moves from position x = 70m to x = 55m. What does the sign of the average velocity during this time interval represent? Question 6: What is the displacement of the train from time t = 0s until t = 50s? Question 7: What is the total distance traveled by the train from time t = 0s until t = 50s? Question 8. What is the slope of the line during the time interval t = 45 to t = 50? Question 9: What does the sign of the slope in question 8 represent in terms of the motion of the train? Question 10: What is the average velocity of the train during the interval t= 0s to t = 50s? Question 11: Does the train’s average velocity during the interval t= 0s to t = 50 s provide a complete picture of the train’s motion during this time? Activity 2. Calculate the velocity of a moving object. Activity 2. Table 1 Time (s) Displacement (m)* 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 *Note that 0.25 m = 25 cm Insert a graph of Table 1 here. Include a chart title, axes titles and units. Activity 2. Table 2 Time (s) Velocity (m/s) 1 2 3 4 5 6 7 8 Insert a graph of Table 2 here. Include a chart title, axes titles and units. Activity 3 Graphing the motion of an Object with Constant Acceleration Activity 3. Data Table 1. Time (s) Average Time (s) Average Time2(s2) Distance (m) Trial 1 = 0 Trial 2 = Trial 3 = Trial 1 = 0.1 Trial 2 = Trial 3 = Trial 1 = 0.2 Trial 2 = Trial 3 = Trial 1 = 0.3 Trial 2 = Trial 3 = Trial 1 = 0.4 Trial 2 = Trial 3 = Trial 1 = 0.5 Trial 2 = Trial 3 = Trial 1 = 0.6 Trial 2 = Trial 3 = Trial 1 = 0.7 Trial 2 = Trial 3 = Trial 1 = 0.8 Trial 2 = Trial 3 = *Note that 0.10 m = 10 cm Insert your graphs of Distance vs Time (m) and Distance vs Time Squared here: Questions for Activity 3 Question 1: What is the shape of the graph when displacement is graphed vs. time? Question 2: What is the shape of the graph when displacement is graphed against time squared? Question 3: What do the shapes of these graphs tell you about the relationship between distance and displacement for an object traveling at a constant acceleration? Activity 4: Predict the time for a steel sphere to roll down an incline. Steel Sphere Acrylic Sphere A Length of Track (cm) (s) (Step 1, use 80 cm) 80 cm 80 cm B Angle of Elevation () in Degrees ⁰ (Step 1) C Calculated Time from s=0 to s=80 (formula from step 2) D Measured Time from s=0 to s=80 (step 3 with stopwatch) E % Difference (step 4) Question for Activity 4: What effect does the type of the sphere have on the time of the object to travel the measured distance, explain? Activity 5: Demonstrate that a sphere rolling down the incline is moving under constant acceleration. Questions for Activity 5: 1. Describe your observations of the sounds made as the sphere crosses the equally spaced rubber bands (procedure step 4)? (If the sounds are too fast to discern, lower the angle of the ramp.) 2. Describe your observations of the sounds made as the sphere crosses the unequally spaced rubber bands (procedure step 9)? (Use same angle as step4). 3. Explain the differences you observed if any between the sounds with equal spacing and sounds with unequal spacing.