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Understanding Motion: Position, Time, and Velocity

Learn about the concepts of position, time, and velocity and how they relate to motion. Explore graphs and equations to analyze various scenarios. Suitable for beginners in physics.

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Understanding Motion: Position, Time, and Velocity

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  1. Opener 8/22 • What does position mean? • What is time? • How would you describe something moving?

  2. Opener 8/23 • What is the point of units? • What are the units for position and time? 3. Depict the following story as a graph (be sure to label graphs!): Jake woke up and walked to his friends’ house, where he stayed for several hours. Afterwards, he walked home, but he was so focused on his jams, that he walked past his house, before turning and going home where he stayed for the night.

  3. Opener 8/24 • Write a procedure so that an Alien (who has a translator) can either: • Brush it’s teeth. • Make a peanut butter and jelly sandwich. While visiting you on earth.

  4. Opener 8/27 • What are the units for: Position, time, speed? • What is the difference between position and distance? • Give a position vs. time graph that represents “The Tortoise and the Hare” Fairy tale.

  5. Opener 8/28 • Create a story that matches the position vs. time graph. • How fast is the object moving At 40-55s? 3)How much distance did the object cover?

  6. Opener 8/29 Lucky the dog runs at 5 m/s for 5s. He then stops to sniff a fire hydrant for 2 seconds. He then continues to sprint in the same direction at 10m/s for 5s. After he gets too far, his owner calls him and he returns at 2m/s to where he started. • Make a position vs time graph to fit this story. Be as specific as possible. 2) What is the furthest Lucky got from his owner? 3) What time did lucky return to his owner?

  7. Opener 8/30 • Describe the motion of the object. • Find the speed for each point • Graph a Speed vs. Time graph for this object

  8. Opener 8/31 • What is the difference between speed and velocity? Why do we use velocity in physics? 2) When is the object moving the fastest? 3) Create a position vs time graph from this graph.

  9. Opener 9/4 • When is the object moving the fastest? What is it’s velocity? • Create a Velocity vs. Time graph that shows this graph. • What is the object doing the last 2 seconds?

  10. Opener 9/5 2) What could have happened so the lab group got this data? 1) Match the graphs below

  11. Opener 9/6 1) Create the other graph (Pvt or Vvt)

  12. Opener 9/7 • What does velocity mean? • Why are we learning Position vs. Time graphs and Velocity vs time graphs? 3) Give a position vs. time graph using the velocity vs. time graph.

  13. Opener 9/10 • Create a position vs time graph with at least 4 different speeds. • A person is driving 100 miles to go to a concert. If they drive an average of 55 miles per hour, how long will it take for them to get to the concert with no stops. Express answer in minutes.

  14. Opener 9/11 • What are the units for position, velocity, and time? Answer the following questions. Show all work and draw a picture with labels.

  15. Opener 9/12 For the following questions ( 1-5) write down which variable (x, v, a, t) you are looking for and the units that your answer would be in. • How far did the object go? • How fast did the object start? • When did the object reach the end? • By how much did the object change it’s velocity? • How long did it take to reach its top speed? • If a piece of paper and a book drop at the same time above a table, which will hit the table first? By how much? Why?

  16. Opener 9/13 • What does it mean when someone asks for evidence? • Are sports or art better? Give evidence.

  17. Opener 9/14 • Why do we perform better the more we do something? • Why do two magnets repel each other? 3) Watch https://www.youtube.com/watch?v=fZjNJy9RJks 4) Reflect

  18. Opener 9/18 • Make a graph that fits the description. Henry and Jorge were walking to the store. About two minutes later, Henry started to fast walk. Jorge seeing that Henry pulled ahead started to run and passed Henry. Jorge reached the store in about 2 seconds, while it took Henry about 4 seconds. After they spent about 15 seconds in the store the two walked back home together. 2) If the store is 60 meters away when he started running, how fast was Jorge running? 3) Henry actually started to accelerate when Jorge passed him. If he started moving at 1 m/s, what was his acceleration?

  19. Opener 9/19 • Which lab had something moving a constant speed? • Which lab would be from a free fall or spark timer lab? Determine what the equation is asking for in variable form. INCLUDE UNITS! 3) How long does it take to change its speed? 4) What is the minimum allowed length for the runway? 5) What is the magnitude of his acceleration?

  20. Opener 9/20 Determine which formula you would use 1) A car comes to a stop in 3.4 s. If the distance traveled is 225.3 meters and the average acceleration is 2.2 m/s2, how fast were they driving initially? 2) A parachutist jumps out of an airplane on earth. It takes her 29.2 seconds to reach the ground. How high up was the plane? 3) A car driving 64 m/s slams on their brakes to avoid an accident. If their average acceleration was -11.3 m/s2, how far was their stop? 4) Tina is driving from Plainfield to Milwaukee 114 miles away. If it takes her 1 hour and 32 minutes to get there, what was her average velocity

  21. Opener 9/20 • If an object is dropped or falls, what information do we know about it? • How long does it take an object to move 35m away if the object starts at rest with an acceleration of 3m/? • Draw a Pos, Vel, and Acceleration graph for a ball being thrown in the air.

  22. Opener 9/24 • Define all variables with their meaning and units (x, vi, vf, t, a). 2) The Sears tower in Chicago is 443 m tall. Joe wants to get to set the world’s stair climbing record and runs all the way to the roof of the tower. If Joe’s average upward speed is 0.60 m/s, how long will it take Joe to climb from street level to the roof of the Sears Tower? 3) Assuming cars have an average stopping acceleration of 3.5m/s^2, What is the difference in stopping distance if you are traveling 65 mph (30m/s) vs. if you are traveling 75 mph (33.5 m/s)? *Bonus: convert to feet 1 m = 3.28 ft

  23. Opener 9/25 • Describe the motion in this graph • Create a Velocity time graph for this position time graph. 3) A water bottle is flipped up to a high ledge and lands on the ledge when the water bottle reached its peak. Draw a position and velocity time graph to describe the water bottles motion.

  24. Opener 9/26 Determine which formula you would use 1) A car slows down over the course of 2.2 seconds. If initially they were driving 40 m/s, and they traveled 192 meters, what was the magnitude of their acceleration? 2) A parachutist jumps out of an airplane on earth. It takes her 92.2 seconds to reach the ground. How high up was the plane? 3) A car driving 64 m/s slams on their brakes to avoid an accident. If their average acceleration was -11.3 m/s2, how far was their stop? 4) An astronaut drops her pen. The pen falls 2.5 meters and lands 0.83 seconds later. What is the acceleration due to gravity on this mystery moon? 5) A bird flying through the air at 4 m/s sees dinner and accelerates to 22 m/s. If this change takes 5 seconds, what is the magnitude of their acceleration?

  25. Opener 9/28 • When driving in a car, how much pressure do you push on the gas to go from 0 -40 mph compared to when you are going a constant 70mph on the highway? • You are driving your friends and they are annoying you so you take a turn very quickly. What happens to your friends? 3) If you are driving a car and a truck at the same speed, which one could you stop faster (if you were driving)?

  26. Opener 10/1 • What is acceleration? When an object accelerates what are 3 possible things it could be doing? 2) How would you measure how hard you hit something? Reflect on the bowling ball lab from Friday. 3) Was it necessary to touch the bowling ball to keep it moving? How did it move when it was not touched? 4) Describe changes in the ball’s motion in areas where it was touched.

  27. Opener 10/2 1) Name 4 Vector quantities. (Things that are vectors) 2) A boat is rowed 5 km/hr directly across a river in water that is flowing at a right angle to the position of the boat at a speed of 10 km/hr. What is the resultant speed of the boat? 3) Mr. Schmitt and Mr. Dolson are walking in the mall to do some shopping. They walk 3 m North towards Macy’s then realize they need SMOOTHIES. They turn and walk 5 m East towards Starbucks. After they drink their smoothies, they walk 2 m South to avoid a spilled drink from another person. Draw a picture and find the resultant that Mr. Shmitt and Mr. Dolson walked.

  28. Opener 10/3 • Name 4 types of Forces • Are the forces balanced or unbalanced? Which way would the object accelerate? a) + b) + 3) A car is pushed 4 m to the right and then 8m up. What is the Resultant Push? 4) If a car is moving 20m/s at a 30 degree angle, how fast is it moving in the x-direction? The y-direction?

  29. Opener 10/4 1) If you were given Vi , t , x. which equation could you use to find the acceleration?

  30. Opener 10/9 • What did we do in the lab? What type of relationship did we see? • Draw a force diagram of the car from the lab. • A person is on a rope swing. Draw a force diagram of the person as they are swinging from the rope (over the water). • Draw a force diagram of the person when they let go to fall into the water.

  31. Opener 10/11 1) Explain how a slip and slide works. Why are they not curved? 2) A man pushes a box with a mass of 25 kg with a force of 300 N. If the frictional force between the box and the floor is 50 N, what is the box’s acceleration? 3) A 1000 kg school bus retrofitted with a jet engine accelerates from rest to 143 m/s in 4 seconds. What is the force produced by the jet engine? Draw a force diagram and solve each problem.

  32. Self Quiz 0 pts. • A person rows a boat across a river. She rows at 4m/s. The current (perpendicular) at 7m/s. What is the boats velocity (resultant). • Draw a force diagram of a car slowing down using only friction.

  33. Opener 10/12 • What are the 5 types of Forces (try not to look at notes) • What is easier to stop, if coming at you with equal velocity, a baseball or a bowling ball. Why? (use physics terms) Draw a Force diagram for the following situations 3) A force is applied to the left to drag a sled across loosely-packed snow with a leftward acceleration. 4) A football is moving upwards towards its peak after having been kicked by the punter.

  34. Opener 10/15 • What does inertia mean? What causes something to have more inertia? • Draw a force diagram of a person leaning on a wall. • A 5kg box is pushed with 100N to the right and pulled 30N to the left. How quickly does it accelerate? (Draw a force diagram) • The wall from #2 is removed. Why does the person fall? (Draw a force diagram)

  35. Opener 10/16 • Name 5 different types of Forces • A car is moving 20 m/s North. The passenger leans out the window and throws the ball north at 2m/s. How fast is the ball moving? (Draw all vectors and the resultant) • Traveling at the same velocity, he throws an egg east at 3m/s. What is the velocity of the egg to a person standing on the side walk? (Draw all vectors and the resultant) • A person jumps and a scale reads 900N right before she leaves the scale. How fast did the earth accelerate, assuming mass of earth is 6*10^24?

  36. Opener 10/17 • A helicopter drops you off in the middle of a frictionless frozen lake. How do you get off the frozen lake? A 15kg box is pushed to the right with a force of 60N and pulled to the left with a Force of 15N. (Ignore friction) 2)Draw a force diagram of the box 3) What is the mass of the box? The weight? 4) What is the acceleration of the box?

  37. Opener 10/18 • What are units for the following? Vi , a , F , m , Weight Use the data to answer 2 - 4 2) When is the object experiencing Balanced forces? 3) When is the object experiencing a negative Net Force? 4) If the object is 4kg, what is the magnitude of the Force that starts the object’s motion?

  38. Opener 10/19 • Create a position time graph and a velocity time graph for the following. Bill rides his bike at 5m/s for 4s. He puts on his breaks and stops in 2s. He then rides his bike back home at 2m/s. 2) How long does it take him to get back home? 3) What is the force his brakes applied if Bill and the Bike weight 1500N?

  39. Opener 10/22 1) When doing a force diagram, what force(s) is ALWAYS present? 2) For a force to be present, what do you need?

  40. Opener 10/23 1) Mass is based on _______________ 2) Weight is based on ________________ 3) Label the diagrams/graphs as balanced or unbalanced.

  41. Opener 10/24 F=ma Fg = m(10) Write if the forces are balanced or unbalanced and include possible motions the object COULD be doing. 2) A 300N box needs to change its velocity by 3.5 m/s per s. How hard would someone need to push, if friction gives a 120N force, to get the right acceleration? Draw a Force diagram and show all work. 3) Give 2 possible position vs. time graphs and 2 possible velocity vs. time graphs of an object experiencing balanced forces.

  42. Opener 10/26 • Your driving in your car and you start to hit the breaks as you approach a stop sign. Your phone, which is in the seat next to you, starts to slide forward. Why? • A 300 lbs lineman tackels a 150 lbs running back. Who hits who harder? 3) A wagon initially rolling to the right hits a small wall and comes to a stop. What happens to all the contents inside the wagon?

  43. Opener 10/29 • Does a car or a truck require more Force to accelerate from rest to a speed of 10 m/s. Why? • Using a timer and meter stick, explain how you would measure an objects velocity in the lab. 3) Draw a velocity vs. time graph where an object experiences balanced forces 2 times and unbalanced forces once. 4) Car runs into a bug. Who hits harder? Why?

  44. Opener 11/9 • What is the difference between a variable and a unit? • Can momentum be negative? Why or Why not? • What does conservation mean? • What is an impulse? • A 100 kg bike is moving at 5m/s. If it takes 1.5s to stop, what is the force acting on the object?

  45. Using trial 1, what’s the momentum of Car 1 before collision? 2) Predict the total momentum of run 3 3) Based on the data, what type of collision (Bounce, stick together, explosion) do you believe is occurring in the experiment? Defend your answer. 4) What does the 2nd data table indicate about the momentum before and after the collision? 5) Explain: Why is the final velocity for both carts 1 and 2 the same in all three trials? 6) Explain: In trial 3, why does the initial velocity go from 1.963 m/s to 0.938 m/s after the collision?

  46. Opener 11/12 • A 75kg person on roller skates is moving at 2 m/s. What is her momentum? • She doubles her speed, what happens to momentum? • She then grabs her 50 kg little brother and picks him up. How fast will both be moving? • They slam into the wall. The little brother (50kg) is stopped in 0.01s. The sister, having her brother as a cushion, stopped in 0.02s. Who experienced a greater Impulse? Why? 5) With what force did the boy (50kg) hit the wall?

  47. Opener 11/13 – Part 1 1) A ball is thrown EAST towards a brick wall with a velocity of 4 m/s. It strikes the wall, bounces off, and travels WEST with a velocity of 5 m/s. Calculate the change in velocity. 2) Two cars are travelling down 119th when Car B rear ends Car A. The cars stick together. The total momentum before the collision was 17,600 kg* m/s. What is the total momentum after the collision? 3) A shotgun fires a bullet. If the gun has a mass of 30 kg, and the bullet has a much smaller mass. If the shotgun recoils (moves back) with a small velocity, what do we know about the velocity of the bullet? (2 answers)

  48. Opener 11/13 – Part 2 4) If an object has a change in momentum equaling 4,375 kg * m/s, velocity equaling 123 m/s, a distance of 1300 miles, and acceleration equaling 47 m/s2 what is the impulse? 5) An object has a change in velocity of 28 m/s. It possesses a force of 125 N acting for 1.21 seconds. What is the mass of the object? 6) A 0.05kg golf ball is hit. What is the Average Force The hit the golf ball? (use the graph)

  49. Opener 11/14 • What is an impulse (besides change in momentum)? • Can A rolls into a wall at 5m/s and stops in 0.2s. Can B rolls at 5m/s and comes to a stop in 5s due to friction. Both cans are equal in mass. Which Can experienced a greater impulse? • Which can (problem 3) experienced a greater force? Why? • What are two ways you can increase an objects momentum/

  50. Opener 12/3 REMINDER – Test Retakes due 12/6! • A toy car (7 kg) is rolled at 2m/s into toy truck (10kg) initially at rest. The two stick together. (a) what type of collision is this? (b) how fast do the two toys roll after they hit? • A person is walking a dog. The dog pulls on the person with a force of 20N. If the person is on ice and has no force of friction, how quickly does the 60kg person accelerate? Draw a Force diagram. 3) Egg 1 is thrown at a wall. Egg 2 is thrown at a sheet. Which one experiences a bigger impulse and why? Which one experiences a bigger force and why?

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