Question 3 14 the diagram shows the positions of the

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Elementary and Intermediate Algebra
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Chapter 8 / Exercise 4
Elementary and Intermediate Algebra
Tussy/Gustafson
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Question 3-14:The diagram shows the positions of the cart at equal time intervals for the motion described in Question 3-13. At each indicated time, sketch a vector above the cart that might represent the velocity of the cart at that time while it is moving toward the motion detector and slowing down. Assume that the cart is moving at t1and t4.
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Elementary and Intermediate Algebra
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Chapter 8 / Exercise 4
Elementary and Intermediate Algebra
Tussy/Gustafson
Expert Verified
Save your work frequently! 20 Question 3-15:Show how you would find the vector representing the change in velocity between the times 2 and 3 s in the diagram above. Based on the direction of this vector and the direction of the positive x axis, what is the sign of the acceleration? Does this agree with your answer to Question 3-13? If you have more time, do the following Extension. Extension 3-3: Graphing Slowing Down Toward the Motion Detector Use the motion detector setup to graph the motion of the cart moving toward the motion detector and slowing down, as described in Question 3-13. Insert the graph.
Save your work frequently! 21 Question E3-16: Compare the graphs to your answers to Questions 3-13 to 3-15. Activity 3-4: Reversing Direction In this activity you will look at what happens when the cart slows down, reverses its direction and then speeds up in the opposite direction. How does the velocity change with time? What is the cart's acceleration? The setup should be as shown below-the same as before. The fan unit should have the maximum number of batteries, and should be taped securely to the cart. Prediction 3-3:You start the fan and give the cart a push away from the motion detector. It moves away, slows down, reverses direction, and then moves back toward the detector. Try it without using the motion detector! Be sure to stop the cart before it hits the motion detector, and turn the fan off immediately. For each part of the motion-away from the detector, at the turning point, and toward the detector-indicate in the table below whether the velocity is positive, zero, or negative. Also indicate whether the acceleration is positive, zero, or negative. Prediction Table Moving away At the turning point Moving Toward Velocity Acceleration Draw your predictions in Logger Pro. 1.Test your predictions. Set up to graph velocity and acceleration on the following graph axes. (Open the experiment file called Slowing Down (L02A3-1)if it is not already opened.) 2.Begin graphingwith the back of the cart near the 0.5-m mark. Turn on the fan unit, and when you begin to hear the clicks from the motion detector, give the cart a gentle push away from the detector so that it travels at least 1 m, slows down, and then reverses its direction and moves toward the detector. (Push and stop the cart with your hand on its side. Be sure that your hand is not between the cart and the detector.)
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