Name Period Date 1. Answer the following questions about the position vs. time graph to the right. a. Describe a situation that would fit the graph to the right. (Invent a scenario.) position (m) Constant Velocity Worksheet 4 0 time (s) b. What units will the slope have? How do you know? 2. Answer the following questions about the velocity vs. time graph to the right. a. Describe a situation that would fit the graph to the right. (Invent a scenario.) velocity (m/s) c. What does this slope represent? 0 time (s) b. Draw a vertical line from the end of the line on your graph down to the horizontal axis. Shade in this area. How would you calculate the area of that shape? c. What are the units of the area? How do you know? d. What does this area represent? Constant Velocity Worksheet 4 page 2 velocity (m/s) 2 time (s) 0 2 4 6 8 8 8 10 12 14 16 18 -3 3. Horace Zontal rode his bike up and down the street in front of his house. His motion can be represented by the velocity vs. time graph above. a. How far did the object move in the b. How far did the object move in the first 8 seconds? In what direction next 10 seconds? In what direction did did it move? it move? c. How far did the object move d. At the end of the 18 s, how far is the object during the entire 18 s? (In other from where it was at 0 seconds? What direction is it from where it started? words, what distance did it (Physicists call how far out of place an cover?) object is its displacement.) postion (m) e. On the graph below, draw a position vs. time graph for Horace’s trip. Scale the position axis. Begin at x0 0 m . Use the sketch to estimate at what time Horace was at the same location as the start of the trip. time (s) 0 2 4 6 8 8 8 10 f. Draw a motion map for Horace’s motion. 12 x 14 16 18 Unit I: Worksheet 5 4. Paula Ticks moves from position 180 m to position 85 m in 5.0 s. What was her average velocity? page 3 5. Billy Yunair bikes East for 50. s to his friend’s house at 10.0 m/s. He takes 5.0 s to drop off his Physics data. He then walks West for 80. s at 3.0 m/s. What was his displacement for the trip? 15 6. The motion of Milly Yunair is shown on the graph to the right. velocity (m/s) a. What is Milly’s displacement for the entire trip? (Show each step of your work.) 10 5 0 -5 -10 -15 2 4 6 time (s) c. On the grid to the right, make a quantitative graph for position vs. time. Begin at x0 0 m . (Be sure to number the scale on the position axis.) d. Check to see if your answer to part (b) is correct. How can you tell? position (m) b. When is she again at the same position as at time = 0 s? How do you know? 0 0 2 4 time (s) 6 Constant Velocity Worksheet 4 page 4 7. From the position vs. time data below, answer the following questions. t (s) x ( m) 0 1 2 3 4 5 6 7 8 9 0 2 4 4 7 10 10 10 5 0 v (m ) s x ( m) 10 5 0 t (s) 10 t (s) 0 10 a. Construct a graph of position vs. time. -5 b. Construct a graph of velocity vs. time c. Draw a motion map for the object. d. Determine the displacement from t = 3.0 s to 5.0 s using graph B. e. Determine the displacement from t = 7.0 s to 9.0 s using graph B. Constant Velocity Worksheet 4 page 5 8. Given one of the four representations, complete the other three representations. Assume the object starts at 0 position unless otherwise indicated. x vs. t Graph v vs. t Graph x Written Description Motion Map v t t x v t x t v Object moves with constant positive velocity for 4 seconds. It then stops for 2 seconds and then returns to its initial position in 2 seconds. t t x v t t xX