The velocity vs. time graph for an object moving along a straight path is shown in Figure P2.24. (a) Find the average acceleration of the object during the time intervals 0 to 5.0 s, 5.0 s to 15 s, and 0 to 20 s. (b) Find the instantaneous acceleration at 2.0 s, 10 s, and 18 s.FIGURE P2.24

The velocity vs. time graph for an object moving along a straight path is shown in Figure P2.24. (a) Find the average acceleration of the object during the time intervals 0 to 5.0 s, 5.0 s to 15 s, and 0 to 20 s. (b) Find the instantaneous acceleration at 2.0 s, 10 s, and 18 s.FIGURE P2.24

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Description: The velocity vs. time graph for an object moving along a straight path is shown in Figure P2.24. (a) Find the average acceleration of the object during the time intervals 0 to 5.0 s, 5.0 s to 15 s, and 0 to 20 s. (b) Find the instantaneous accelerati

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 15P: Figure P2.15 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest...

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Figure P2.15 shows a graph of vx versus t for the motion of a motorcyclist as he starts from rest and moves along the road in a straight line. (a) Find the average acceleration for the time interval t = 0 to t = 6.00 s. (b) Estimate the time at which the acceleration has its greatest positive value and the value of the acceleration at that instant. (c) When is the acceleration zero? (d) Estimate the maximum negative value of the acceleration and the time at which it occurs. Figure P2.15
The velocity vs. time graph for an object moving along a straight path is shown in Figure P2.22. (m/s) 15 20 Figure P2.22 (a) Find the average acceleration of the object during the time intervals 0 to 5.0 s, 5.0 s to 15 s, and 0 to 20 s. O s to 5.0 s m/s2 5.0 s to 15.0 s m/s? O s to 20.0 S m/s? (b) Find the instantaneous accelerations at 2.0 s, 10 s, and 18 s. 2.0 s m/s? 10.0 s m/s2 18.0 s m/s?
An object is at x = 0 at t = 0 and moves along the x axis according to the velocity-time graph in Figure P2.62. (a) What is the object’s acceleration between 0 and 4.0 s? (b) What is the object's acceleration between 4.0 s and 9.0 s? (c) What is the object's acceleration between 13.0 s and 18.0 s? (d) At what time(s) is the object moving with the lowest speed? (e) At what time is the object farthest from x = 0? (1) What is the final position x of the object at t = 18.0 s? (g) Through what total distance has the object moved between t = 0 and t = 18.0 s?
2.9 .. A ball moves in a straight line (the x-axis). The graph in Fig. E2.9 shows this ball's velocity as a function of time. (a) What are the ball's average speed and average velocity during the first 3.0 s? (b) Suppose that the ball moved in such a way that the graph seg- ment after 2.0 s was –3.0 m/s instead of +3.0 m/s. Find the ball's average speed and average velocity in this case.
The velocity vs. time graph for an object moving along a straight path is shown in Figure P2.22. (m/s) 10 15 t(s) 20 2 -4 -6 Figure P2.22 (a) Find the average acceleration of the object during the time intervals 0 to 5.0 s, 5.0 s to 15 s, and 0 to 20 s. O s to 5.0 s m/s2 5.0 s to 15.0 s m/s2 O s to 20.0 s m/s2 (b) Find the instantaneous accelerations at 2.0 s, 10 s, and 18 s. 2.0 s m/s2 10.0 s m/s2 18.0 s m/s2
A woman backs her van out of her parking space with a constant acceleration of 1.8 m/s2. Assume that her initial motion is in the positive direction. Part A: How long does it take her to reach a speed of 2.1 m/s in seconds? Part B: If she then brakes to a stop in 0.65 s, what is her acceleration in meters per square second?
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sketch a position vs time graph and a velocity vs time graph and an acceleration vs time graph. At time t = 0 you are walking in the positive x direction with a constant speed of 1 m/s. You maintain that speed for 6 s. Then, you decrease your speed uniformly to 0 over a 2 s interval. You rest for 2 s, then turn around and increase your speed uniformly to 2 m/s in 2 s. You continue at that speed until you return to the starting place.
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Basam is standing on the edge of a cliff and tosses her physics book upward with a speed of 22.0 m/s. It hits the ground at the base of the cliff 6.0 s later. Create a VELOCITY-TIME graph that represents this scenario. You may assume that the acceleration of the textbook is -9.81 m/s². Use the graph to determine a) the height of the cliff. b) the speed of the book when it impacts the ground. DO NOT use kinematics formulas to solve this problem. This task is assessing your understanding of GRAPHING to represent accelerate motion.
The velocity vs. time graph for an object moving along astraight path is shown in Figure P2.24. (i) Find the averageacceleration of the object during the time intervals (a) 0 to 5.0s, (b) 5.0 s to 15 s, and (c) 0 to 20 s. (ii) Find the instantaneousacceleration at (a) 2.0 s, (b) 10 s, and (c) 18 s.