1. The motion graph shown below was created by a toy train which start from rest at the origin. Acceleration vs. Time 6 1 Series1 -1 0 10 15 20 30 -2 -3 -4 Time(s) a. What is the average acceleration of the train? b. Draw the velocity-vs-time graph for the train. c. Draw the position-vs-time graph for the train. Acceleration (m/s^2)
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- Lucas is driving west with belongings on car. After driving west for an hour and a half he stops for gas 110 km from his parents house.As he gets back in car he notices one of the boxes fell off. He gets back in car and heads east for 30 minutes traveling 50 km before he sees box.Determine Luca average speed and velocity for each part of the trip.a. The first hour and a half B. The next 20 minutes. Did he travel faster or slower compared to the 1st hour and half? C. The whole tripA. Calculate the average acceleration for the first ten seconds B. Calculate the average acceleration for the entire trip C. On what intervals of time is the particle moving to the right, moving to the left, a temporary at rest ? D. On what intervals of time is the particle moving with a constant velocity increasing velocity and decelerating calculate its instantaneous acceleration at t=2s Graph given is x: time. Y: velocityA car is traveling east. The graph shows the change in the velocity of the car over time, relative to the ground. Acceleration 45 40 35 30 25 20 15 10 1 2 3 4 5 6 Time (s) During this period, what is the eastward acceleration of the car relative to the ground? O A. 5 m/s 2 B. 25 m/s C. 30 m/s D. 150 m/s" Velocity (m/s)
- Asap1. A motorized toy car moves at a constant velocity of 4 m/s. You start recording its motion at zero time as it passes a point 2 m from the zero-position point. a. Sketch a position vs. time graph for the toy car. Be sure you include appropriate labels and units for each axis. b. How can you find the velocity of the car from the position vs. time graph? c. Write an equation for the graph using the proper variables and units.Speed (km/h) Time (s) 0.0 0 10 20 30 40 50 60 70 80 12. The Tesla Model S-Can accelerate to high speeds very quickly. The table below shows test data for the Tesla Model S as it travels along a straight line. a. Sketch a velocity vs time graph for this car. 90 100 110 120 b. C. 0.2 0.4 0.6 0.9 1.2 1.6 2.0 2.4 2.9 3.5 4.1 4.8 140 120 iii. iv. 100 80 60 How is the acceleration of this car best described? Zero? Constant but not zero? Increasing? Decreasing? Something else? Explain how you can tell. + What is the car's average acceleration in m/s² for the following times: i. ii. Osto 0.9 s 0.9 to 2.0 s 2.0 to 2.9 s 2.9 to 4.1 s v. 0 to 4.1 s Approximately how far has the Model S travelled once it reaches 120 km/h?
- 6. A car starts from rest and accelerates at a rate of 1.8 m/s² West for 15s. It goes at a constant velocity for 50s and then accelerates at a rate of 2.1m/s² East for 10 s. Use West as the positive direction. a. Draw an acceleration graph for this situation. Remember to quantitatively label your axes. a (m/812) t(s) 0-15 15-65 65-75 b. What is the change in velocity for each time interval? Av (m/s) t(s) Draw a velocity graph for this situation. Remember to quantitatively label your axes. v (m/s) E t(s) d. What is the total displacement between t-Os and t= 75 s?5. Draw a distance vs. time graph for Melinda’s journey. Her home is located at 0 meters.Melinda is riding her bike over to her friend Sara’s house to complete an assignment. Her friend lives 5 km away. She accelerates away from her home for250 m in the next 2.5 minutes. She then rides at a constant speed of 300 m/min for 15 minutes. Melinda sees Sara’s house approaching so she slows downuntil she reaches her destination in the next 2.5 minutes. She stays at Sara’s house for 30 minutes while they work on the assignment. It is time to go home,Melinda rides home at a steady speed of 250 m/min for 10 minutes. Melinda is getting tired so she slows down for 250 m during the next 5 minutes thenstops for 2.5 minutes to have a drink. Realizing it’s getting late, she had to speed up 1 km in the next 5 minutes then rides at a constant speed of 300 m/minfor 2.5 minutes. Almost home, she decelerates for the next 10 minutes until she reaches her house.The velocity-versus-time graph for an object moving along an x-axis is shown below. The initial position of the object is xo = -10.0 m. V (m/s) 4- t (s) 4 0. a) Draw a motion diagram of the object. Be sure to label your velocity and acceleration vectors. 0. b) What are the position, velocity, and acceleration of the object at t = 3 s? You must show all %3D of your work to get full credit. c) Sketch the object's position-versus-time graph and acceleration-versus-time graph. 2.
- A ball is thrown straight up. What is the velocity and acceleration of the ball at the higest point (peak)? A. velocity = 0m/s and acceration = 9.8 m/s2 down. B. velocity = 0 m/s amd acceleration = 0 m/s2 C. velocity = 0 m/s and acceleration = 9.8 m/s2 up D. velocity = 9.8 m/s up and acceleration = 0 m/s21. Refer to the velocity-time graph of a jogger. The positive direction is away from the jogger's home. Rank the four distances for the time intervals, A, B, C, D in decreasing order. Explain your answer. 15 10 C 40 50 30 20 Time (s) 0. 10 20 (s/w) pe 252. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.