1. The following velocity-time graph shows the motion of an object. 20 Time (min) -20 -40 Calculate the displacement of the object from 15 to 35 min. Velocity (m/min)
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- 1. QUE) Motion in one dimension (a)ims] How is the average speed of an object defined and what is the difference between speed and velocity? Explain any symbols that you use. (b) Expos] Give an example of a situation in which the average speed of an object is greater in than the magnitude of its average velocity. (c) [pos] The "2" subway train from Manhattan to Flatbush Avenue is approaching the final station (Flatbush Avenue) but has stopped on the tracks somewhere outside of Flatbush Avenue. The graph shows the train's velocity as a function of time, from the point just after it begins to move again, up to the point at which it comes to rest at the Flatbush Avenue station. The positive direction of velocity and displacement is from Manhattan to Flatbush Avenue along the track. Velocity in miles per hour 30 25 0 0 10 20 30 40 Time (seconds) 50 60 70 90 Give both the magnitude and sign of each of your numerical answers. (i) What is the train's acceleration from 0 to 10 seconds? And…3. An object moves in a straight line as described by the velocity-time graph in the plot below. Sketch a graph that represents the acceleration of the object as a function of time. 15 10 1 2 4 Time (s) Velocity (m/s)3. Sketch a graph of the position of an object that has an average velocity of • 8 mph for times between 0 and 1 hour and • 3 mph for times between 0.5 and 2 hours.
- a person travels by car from city to another with a different constant speeds between pairs of cities. She drives for 40.0 min at 85.0km/h, 8.0min at 50.0km/h, 50.0min at 30.0km/h and dpends 50min eating lunch and buying gas. A)determine the average speed for the trip in km/h B)determine the distance between the initial and final cities along the route in km.6. Please help answer this question, thank you so much! :)3.) graph is given. The following position -vs- time +40 +30 Position +20 x (m) +10 0 5 10 15 20 25 30 Time t(s) A.) Determine the instantaneous velocity at t = 2 s. B.) velocity at t = 16 s. C.) Determine the instantaneous Draw a velocity -vs-time graph.
- 2. Complete the table below. Based on the given motions, give the distance traveled and the object's displacement. -5 -4 -3 -2 -1 1 4. Motion Distance traveled Displacement An object moves from point 1 to point 4 then reverses and ends at point 2. An object moves from point 1 to point 5 then reverses to point 2. An object moves from point 1 to point 3 then reverses to 0. An object moves from point 3 to point 5 and then reverses to point 1. An object moves from point 2 to point 4 and reverses to point 2.1. In the given acceleration – time graph: DRAW THE VELOCITY – TIME, DISPLACEMENT – TIME GRAPH. TABULATE Solve by Area Method (m/*) 20 20 2 -40 - 70 a) Determine the acceleration per one second. b) Determine the velocity per one second if the initial velocity is V: = -50 m/s c) Determine the displacement per one second if the initial displacement is Sı = -150 m1. The position and velocity for one-dimensional motion can be derived from the following equations: 1 Xf – Xị = Vịt +,at? 2 Vf = Vị + at Where, x; is the initial position, Xf is the final position, v; is the initial velocity, vf is the final velocity, a is the acceleration, and t is the time. Modify the above equations for the motion of free fall object. [Hints: Definition of free fall object: An object that is falling under the sole influence of gravity is called a free-falling object.]