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- 1.A spacecraft starts from rest, and makes a journey to a destination 258000 km from its starting point. It does so by accelerating at a constant rate of 11.65 m/s^2 up to the midpoint of the journey, and then decelerates at the same constant rate of 11.65 m/s^2 for the second half of the journey, ending at rest. How long did the entire journey take? 2 hr 37 min 1 hr 51 min 6 hr 9 min 3 hr 5 min 2. An unidentified flying object (UFO) is observed to travel a total distance of 47000 m, starting and ending at rest, over a duration of 1.18 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2. 6,882 g s 135,019 g s 67,509 g s 13,763 g s 3. A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The…An object starts from rest and undergoes a constant acceleration. It reaches a final velocity of vf after a time of Δt has elapsed. If we wanted it to reach a velocity of 2 vf, how long would we have to wait? options 1/2 Δt 2 Δt 4 Δt 1/4 ΔtFor questions # 14-20, consider the graph of motion below: 50.0 45.0 40.0 35.0 30.0 25.0 20.0 15.0 10.0 5.0 +++ +++ + 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.011.012.0 Time (s) 14. During which interval is the object not moving? А. B to C В. C to D C. D to E D. Only at point A 15. During which interval is the object moving at constant velocity? A. A to B В. B to C C. C to D D. E to F 16. During which interval is the object moving at constant acceleration? B. C to D C. D to E D. F to G A. B to C 17. What is the acceleration of the object at point D to E? B. 8 m/s? A. O m/s? D. 40 m/s? B. 13 m/s? 18. What is the velocity of the object at 7th seconds? A. O m/s В. 5 m/s C. 40 m/s C. 13 m/s 19. What is the acceleration of the object from point A to B? B. 5 m/s? A. O m/s? C. 10 m/s? D. 20 m/s? 20. What is the distance travelled by the object from point A to B? В. 20 m А. 10 m C. 40 m C. 80 m (s u) Âppoppa
- 1. A particle moves according to the equation x = 2t³ - 2t + 1, where x is in meters and t in seconds. (a) Find instantaneous acceleration as a function of time. (b) Find the value of the instantaneous acceleration at t = 3.5 s.4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 244. You wake up in a strange room, with opaque walls, and no visible doors or windows. you drop a ball from a height of 1.12 m and it hits the floor 0.191 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be? 71.2 m/s^2 61.4 m/s^2 98.0 m/s^2 51.6 m/s^2
- A car is initially at rest on a straight road. The graph shows the acceleration of the car along that road as a function of time. a (m/s/s) 4 3 2 -1 -2 -3 0 1 2 3 4 5 Submit Answer Tries 0/12 7 t (s) What is the speed of the car at t=7 s? Submit Answer Tries 0/12 6 How much distance does the car cover in the first 8 seconds? 8 9 10 11 12 Submit Answer Tries 0/12 What is the speed of the car at t=12 s? Submit Answer Tries 0/12 Determine the distance covered by the car between t=11s and t= 13 s? 13 14The next few questions challenge you to figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On Planet #1, you drop a stone from rest, 76.1 m above the ground, and the stone hits the ground 6.17 s later. What is the value of g on Planet #1? 24.67 m/s^2 4.00 m/s^2 2.00 m/s^2 12.33 m/s^2A ball is thrown vertically upward with an initial speed v and reaches a maximum height y1. The same ball is thrown with an initial speed 3v to reach the maximum height y2. What is the correct relationship between y2 and y1? А. y2 = ½ y1 В. y2 = 2 y1 %D С. y2 = 4 y1 y2 = 9 y1 D.
- . Plot the data in table 1 of a cart in motion. Determine its displacement and distance traveled. Calculate its maximum acceleration. Time (s) 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Table 1: Table for problem #4. Velocity (m/s) 0.0 2.0 4.0 4.0 4.0 0.0 0.07. A group of students carried out a constant acceleration motion experiment in which they dropped a cart through an inclined plane and managed to collect the data that appear in table # 1. With the information in table # 1, make the graph of average speed vs. time and from the graph determine the acceleration of the cart. t(s) x(cm) 0.00 0.23 15 0.32 30 0.40 45 0.46 60 0.51 75 0.56 90 0.61 105 0.65 120You and your friend would like to experimentally determine a value for g, an object's acceleration due to gravity on Earth. Your friend sets a baseball on the edge of a desk, and you crouch down by the floor, waiting for the ball to drop. She pushes the ball off the desk and yells GO! to signal you to press START your phone's stopwatch app. When the ball hits the floor, you press STOP on the app to stop the timer, and see that the time reads t = 0.606 s. Using a tape measure with markings for cm, you measure the top of the desk to be h = 123 cm from the floor. Part 1) Assuming the ball started with no initial vertical velocity, calculate the value of g in your experiment symbolically. Assume that g is a positive number. Part 2) Using your previous symbolic answer and the qualities from the experiment, determine a numeric value for g. Part 3) What is a reasonable quantitative estimate for your uncertainty in stopping the timer, sigma t? What about your error in measuring the height…