December 6, 2016 Aims: SWBAT explain a position v time graph. SWBAT create a position v time graph for a situation. Agenda 1. Do Now 2. Class Practice 3. Independent Practice 4. Practicing our AIMS: Homework: M.6 Graphing Velocity How will you help our class earn all of our S.T.R.I.V.E. Points? 100% HW Club: You in? 1
Aim Check: 2
SCIENCE 8 Graphing Velocity M.6 Name: Date: Homeroom: Motion We like to MOVE IT, MOVE IT! OBJECTIVES: By the end of class, students will be able to SWBAT explain a position v time graph. SWBAT create a position v time graph for a situation. DO NOW A student records the position of a car every second for a period of time and plots the following distance v time graph. Illustrated below is the change in position of a car every second. 1. What is the car s motion relative to the starting point at time = 8 minutes? A. at rest at the starting point B. in motion at the starting point C. moving toward the starting point D. moving away from the starting point A student records the position of another car every second for a period of time and plots the following displacement v time graph. Illustrated below is the change in position of the car every second. 2. Which observation of an object moving from left to right did the student record? A. B. C. D. 3
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DRAW ME A STORY! Nehemiah walked Ellis to a friend s house. They set off slowly and then Nehemiah increased his pace. After dropping Ellis off, Nehemiah turned around and walked slowly back home. Beyoncé rode her bike east from her home up a steep hill. After a while the slope eased up. At the top, she raced down the other side. Si Nai went for a jog to get ready for soccer season. At the end of the trail, he bumped into Marquis and stopped to talk. When Si Nai said good-bye to Marquis, he walked quickly back home. 5
MATH + REAL WORLD = SCIENCE **True Story ok, not really** CLASS PRACTICE There once was a speedy hare who bragged about how fast he could run. Tired of hearing him boast, Slow and Steady, the tortoise, challenged him to a race. All the animals in the forest gathered to watch. Hare ran down the road for five minutes and then paused to rest. He looked back at Slow and Steady and cried out, "How do you expect to win this race when you are walking along at your slow, slow pace?" Hare stretched himself out alongside the road and fell asleep, thinking, "There is plenty of time to relax." Slow and Steady walked and walked. He never, ever stopped until he came to the finish line another 10 minutes later. The animals who were watching cheered so loudly for Tortoise, they woke up Hare. Hare stretched and yawned and began to run again, but it was too late. Tortoise was over the line! After that, Hare always reminded himself, "Don't brag about your lightning pace, for Slow and Steady won the race!" DRAW THE STORY! Who traveled farther, the tortoise or the hare? Who traveled faster, the tortoise or the hare? 6
Position v Time Graphs Note 1: This type of graph displays how an object s position has changed with time. Note 2: The steeper the slope, the faster the position is changing. Note 3: A horizontal means the object is not changing position it is AT REST Note 4: A downward slope means the object is returning to the starting position. Example 1: A caterpillar climbs 10 cm up a flower in 5 minutes, and then climbs down 3 cm in 3 minutes to eat a leaf. It stops for 5 minutes to eat the leaf. Motion 1: Motion 2: Motion 3: Example 2: A relay race runner goes forwards 8 meters in 4 seconds, and then realizes she forgot the baton! She takes another 4 seconds to travel back 8 meters to pick it up, and then sprints forward 5 meters in 5 seconds before falling down for the rest of the race(from being so dizzy). Motion 1: Motion 2: Motion 3: Motion 4: 7
CHECK YO SELF Challenge your understanding of Position vs. Time graphs, by explaining what is going on in the graphs below. You don t need to write a creative story just explain the movement. #1 #2 #3 #4 8
INDEPENDENT PRACTICE Directions: Read and ANNOTATE the information before you solve the problem. 9
1. Jen left her home and drove to school in the morning, as shown in the accompanying graph. On her drive to school she realized that she forgot her bookbag and had to return home before driving back to school for a 3 hour ACT prep class. Explain what is happening during each part of the graph. AB : BC : CD : DE : 10
Show your work, circle your answer, and include the units. No work, no circle, no units? NO CREDIT No stories this time just graphs! Find the velocity of each graph. 90 m 75 m 60 m 45 m 30 m 15 m Displacement vs. Time Step 1: given: needed: Step 2: Plug into the formula Step 3: Solve 0 m 0 s 1 s 2 s 3 s 4 s 5 s 6 s Step 4: Check your work Displacement vs. Time Step 1: 90 m 75 m Step 2: 60 m 45 m Step 3: 30 m 15 m 0 m 0 s 2 s 4 s 6 s 8 s 10 s Step 4: Displacement vs. Time Step 1: 90 m 75 m Step 2: 60 m 45 m 30 m 15 m 0 m 0 s 2 s 4 s 6 s 8 s 10 s Step 3: Step 4: 11
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BEAST MODE Ms. Bumpus is in running club. She graphed her movement at the beginning of running on Tuesday. At what speeds was she running? What was her average speed? 6 m 5 m 4 m 3 m 2 m Displacement vs. Time C B A Think of this as three separate graphs, put together. STEP 1: Understand What s going on in part A? What s going on in Part B? 1 m 0 m 0 s 2 s 4 s 6 s 8 s 10 s What s going on in Part C? STEP 2: Calculate the distance and time. Part A Part B Part C Total Distance Total Distance Time Total Time STEP 3: Use the formula to figure out the speeds (slope) for each those sections Part A: Part B: Part C: STEP 4: What is the overall average speed? Use the TOTALS 13
Remember: Horizontal line means no motion. 50 km Displacement vs. Time 1. What is the speed at Point A (5 minutes)? Distance: 40 km B C Time: 30 km Formula and Solve: 20 km 10 km A 0 km 0 min 5 min 10 min 15 min 20 min 25 min 30 min 2. What is happening at Point B (between 10 minutes and 25 minutes)? 3. What is the speed after Point C (25 minutes)? CAREFUL! You need the CHANGE in position and time! Distance: Time: Formula and Solve: 4. What is average speed over the entire time (0 30 minutes)? Part 1 Part 2 Part 3 TOTAL Average Speed Distance Time Speed XXXXXXXXXX 5. At what part is the object moving the fastest? 14
Science 8 Name: SKILL SNAPSHOT Date: M.6: Graphing Velocity Homeroom: Quick Notes: Like A Scholar? Directions: Read and ANNOTATE the information before you solve the problem. Yes No Redo? Yes No 1. An airplane is descending to land at the airport. During its decent it had to hover until the landing was cleared of other planes. Explain what is occurring during each of the segments. AB : BC : CD : The accompanying graph shows Marie s distance from home (A) to work (F) at various times during her drive. 2. Identify the point on the graph that represents when she turned back around to go home for her briefcase. Explain how you arrived at your conclusion. 15
Show your work, circle your answer, and include the units. No work, no circle, no units? NO CREDIT 3. What is the average speed of the objects in each of these graphs? Displacement vs. Time Displacement vs. Time 90 m 75 m 60 m 45 m 30 m 15 m 0 m 0 s 2 s 4 s 6 s 8 s 10 s 90 m 75 m 60 m 45 m 30 m 15 m 0 m 0 s 2 s 4 s 6 s 8 s 10 s 16