College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Given the x vs t graph for an object as shown, which of the choices best describes the velocity versus time for this object?
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- A graph of position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the instantaneous velocity at the instant t = 1s 2 m/s 3 m/s 4 m/s 5 m/sarrow_forwardYou qualitatively analyzed the motion of a van earlier. Now, using the example of the ball thrown into the air, you can do a more detailed analysis of the van's motion. The table shown here includes the time and position data, with one worked example for finding acceleration. Time Position Velocity Ad Acceleration t(s) (m/s) Ar (m/s") 0.0 0.0 6.0 2.0 12 +3.0 12 4.0 36 Sample Calculation Notice that the velocity that will be plotted at t = 1.0 s is the average velocity between t = 0.0 s and t 2.0 s. The velocity that will be plotted at t 3.0 s is the average velocity between t = 2.0 s and 4.0 s. The acceleration that will be plotted at t= 2.0 s is the average acceleration between t = 1.0 s and t = 3.0s. 6.0 48 8.0 96 10.0 142 12.0 190 14.0 226 16.0 250 Adgd-d 12 m-0.0 m 2.0 s-0.0 s V = 18.0 262 Alo2 t2-lo 12 m 2.0 s %3D Analyze and Conclude 1. How well do the average and instantaneous velocities that you calculated agree with = 6.0 m each other? 36 m-12 m V= Afz4 %3D %3D 2 Separate the…arrow_forwardIf we apply the above equations to the case of an object that does not change its direction of travel as it moves with constant acceleration, we find that the object: Undergoes a displacement Ax = x- x, . Note that displacement is a positive quantity if x > x, and a negative quantity if x < x,. Has average velocity v = (x - x )/t = (v + vo)/2. Note that velocity has the same sign as displacement. Travels distance d = |Ax| = |x – x,| . Note that distance is always a positive quantity. Has average speed d/t . Note that speed is always a positive quantity. Has constant acceleration a = (v – vo)/t . Acceleration may be positive or negative, depending on how velocity changes. - Xo For the case of an object that does change its direction of travel as it moves with constant acceleration, which of the quantities listed above are different? Questionarrow_forward
- Your roommate drops a tennis ball from a third-story balcony. It hits the sidewalk and bounces as high as the second story. Draw a motion diagram, using the particle model, showing the ball’s velocity vectors from the time it is released until it reaches the maximum height on its bounce.arrow_forwardThe following graph depicts the velocity of someone playing tag over a short period of time. Use this velocity graph to answer the following questions. The person's maximum magnitude for velocity is 4.5 m/s in both the positive and negative directions. A is at time point 3 seconds, B is at time point 4.5 seconds, C is at time point 5.5 seconds, D is at time point 7 seconds, E is at 8 seconds, F is at 9 seconds and G is at 10 seconds. What is the acceleration in meters/second2 (m/s2) at the 2 second mark of playing tag? What is the acceleration in meters/second2 (m/s2) at the 5 second mark? What is the velocity in meters/second (m/s) at the 5 second mark? What is the acceleration in meters/second2 (m/s2) at the 6.5 second mark? What is the acceleration in meters/second2 (m/s2) at the 8.5 second mark? What is the velocity in meters/second (m/s) at the 9.5 second mark?arrow_forwardIf a particle increases in speed at a constant rate as it moves in the positive direction along an x axis, which of the following describes a plot of its velocity versus time? O plot has constant positive slope plot has constant negative slope O plot has zero slopearrow_forward
- The graph depicts an particle's velocity (in the x-direction) vs. time. At which points is the object's acceleration negative? (Check all that apply.) Group of answer choices C B D A Earrow_forwardThe graph below plots the position versus time for a particular body moving along the x-axis. What is the average velocity over the following time intervals (in m/s)? (Indicate the direction with the signs of your answers.) A coordinate plane has a horizontal axis labeled t (s) and a vertical axis labeled x (m). There are five connected line segments. The first goes from (0, 0) to (2.00, 14.0); the second from (2.00, 14.0) to (4.00, 6.00); the third from (4.00, 6.00) to (5.00, 6.00); the fourth from (5.00, 6.00) to (7.00, −8.00); and the fifth from (7.00, −8.00) to (8.00, 0).arrow_forwardA position function is given by F(t)= (10m+20t)i-5t²j. What is the velocity of the object it describes at t=2.0s? Using the same position function as the previous problem, what is the acceleration function? Using the same position function again, make an accurate plot of the object's trajectory over the first two seconds of flight. What's the lowest speed of the object in the prior problem in that time interval? Iarrow_forward
- The diagram represents the acceleration versus time graph of an object. Which statement is true about the motion of the object? (m-s-2) a t (s) The object is moving with constant non-zero acceleration. The object is moving a constant velocity. The object is at rest. None of the choices provided.arrow_forwardQ1: A dolphin in an aquatic show jumps straight up out of the water at a velocity of 13.0 m/s. (a) List the knowns in this problem. (b) How high does his body rise above the water? To solve this part, first note that the final velocity is now a known and identify its value. Then identify the unknown, and discuss how you chose the appropriate equation to solve for it. After choosing the equation, show your steps in solving for the unknown, checking units, and discuss whether the answer is reasonable. (c) How long is the dolphin in the air? Neglect any effects due to his size or orientation.arrow_forwardThe height above the ground of a drone is given by h = 3.50 t³, where h is in meters and t is in seconds. Calculate at t = 2.50 s (a) the height of the drone above the ground and (b) the velocity of the drone. At this time (t = 2.50 s) the drone releases a package (c) how long does it take the package to reach the ground? Include a complete diagram of the situation.arrow_forward
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