SPH3U: Delivery! Position - Time (d-t) Graphs You drive a delivery truck carrying gophers to clients across the city. Below is a d-t graph that illustrates one of your delivery runs. 390 260 Position (m) [W] 130 20 40 100 Questions Time (s) 0. What was your position at: a) 20 s b) 40 s c) 80 8 d) 100 s 1. How many stops were made for deliveries? 2. How long was the longest stop? 3. What was the maximum displacement from the store? 4. What was the velocity of the truck in the first 10 seconds? 5. What direction was the truck traveling in at 90 s? He leaves me so cold. 6. What was the maximum speed of the truck at any I lack the mery to wh the mokcokes time? Exporther. 7. What was the total distance driven? 8. What was the total displacement driven? 9. What was the average speed of the entire trip? 10. What was the average velocity of the entire trip? Answers: 0) 130 m [W]. 260 m [W]. 390 m [W]. 0 m, 1) 2. 2) 30 s. 3) 390 m [W]. 4) 13 m/'s [W]. 5) East, 6) 20 m/'s (going cast), 7) 780 m, 8)0 m, 9) 7.8 m's, 10) 0 m/'sThe Speeder Bike Chase! Luke is chasing Imperial Troopers on the forest moon of Endor riding on Speeder Bikes, as shown in the position-time graph below. 1. Do Luke and the Troopers start at the same point? How do you know? If not, which is ahead? Troopers 2. At t= 7s, who is ahead? How do you know? 3. Who is travelling faster at 3s? How do you know? 4. Are their velocities equal at any time? How do you know? 5. What is happening at the intersection of the two lines? In the next dramatic scene, the motion is different: Troopers 6. How does Luke's motion in this graph compare to that in the first graph? dimi Luke 7. Who has the greater speed? How do you know? B. Describe what is happening at the intersection of the lines. 9. Who has travelled further during the first 4 seconds? How do you know?SPH3U: Velocity-Time Graphs and Displacement On a position-time ( d - # ] graph, 1. the slope of the graph represents On a velocity.time ( v - / } graph, 2. the slope of the graph represents 3. the area under the graph represents Position-Time Graphs and Velocity-Time Graphs 4.0 15 20 3.0 Position (m [N]) Velocity (m's [NJ) 10 10 2.0 1.0 2.0 3.0 4.0 5.0 6.0 1.0 2.0 3.0 4.D 3.0 time ($) time (6) 1. What is the slope of the position-time graph for Runner A? 2. What is the slope of the position-time graph for Runner B? 3. What is the displacement (change in postion) of Runner A after 4 s? 4. What is the displacement of Runner B after 6 s? 5. What is the area under the velocity-time graph for Runner A from 0 to 4 s? (Compare answer with #3) 6. What is the area under the velocity-time graph for Runner B from 0 to 6 s? (Compare answer with #4) 7. What is the slope of the velocity-time graph for Runner A? 8. What is the slope of the velocity-time graph for Runner B?Sketching Velocity-Time Graphs: Graph A Graph B Velocity (mi's [N]) Velocity (mi's [NT) Runner A runs at a constant velocity of 2 mis [NI. A runner runs at a constant velocity of 2 mis [N| for 2 6. while Runner B runs at a constant velocity of 2 m's and then instantaneously changes direction and runs 2 [5] for 4 s. mis [S] for another 2 s. What is Runner A's displacement after 4 $7 What is the runner's displacement after 4 s? Graph C Graph D Velocity Im's [ND Velocity [ma [NI Starting from rest, Bicycle A accelerates smoothly A lab cart is pushed so that it coasts up an inclined 10 5 mi's [N] in 10 8. Starting from rest, Bicycle B plane, starting at 5 m's [N), and then it rolls back down accelerates smoothly to 5 mi's [IN] in 5 s, and then the plane. continues for another 5 $ at constant velocity. What can you say about the area between the graph What is Bicycle A's displacement? and the time axis when the lab cart rolls back down to its original position? What is Bicycle B's displacement? If they both have the same starting position, who is ahead after 10 $7