College Physics, Volume 1
2nd Edition
ISBN: 9781133710271
Author: Giordano
Publisher: Cengage
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Chapter 2, Problem 6P
To determine
The graphs of position, velocity and acceleration as a function of time.
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The kinematical graphs of a person riding her bicycle are shown below. Time is measured in second, velocity in m/s and acceleration in m/s2. Assume that she starts at x=0.
Describe the motion of the bicyclist (direction of velocity and whether the velocity is constant, increasing and decreasing) during each 1s interval from 0-4 s using the graph.
Draw the position – time (x-t) graph of this motion. This is qualitative only, showing the shapes of the x-t curves in each interval and need not be drawn to scale.
Draw the acceleration – time graph (a-t graph) for this motion. Draw this graph showing the values of acceleration in m/s2.
What is the displacement of the bicyclist from 0-4 s. What physics principle did you use? Show your work.
A cat walks in a straight line, which we shall call the x-axis with the positive direction to the right. As an
observant physicist, you make measurements of this cat's motion and construct a graph of the feline's
velocity as a function of time. What distance (in cm) does the cat move from t-0 to t= 7.5 s?
Note: Round off your answer in the nearest tenth.
1) You recorded your position with respect to the front door of your house as you walked to the mailbox. Examine the data presented in the table provided in the book and answer the following questions:
(a) What instruments might have you used to collect data?
(b) Represent your motion using a position-versus-time graph.
(c) Tell the story of your motion in words.
(d) Show on the graph the displacement, distance, and path length.
Chapter 2 Solutions
College Physics, Volume 1
Ch. 2.1 - Prob. 2.1CCCh. 2.2 - Prob. 2.2CCCh. 2.2 - For which of the positiontime graphs in Figure...Ch. 2.2 - Figure 2.22A shows the positiontime graph for an...Ch. 2.4 - Prob. 2.6CCCh. 2 - Prob. 1QCh. 2 - Prob. 2QCh. 2 - Prob. 3QCh. 2 - Prob. 4QCh. 2 - Prob. 5Q
Ch. 2 - Prob. 6QCh. 2 - Prob. 7QCh. 2 - Prob. 8QCh. 2 - Prob. 9QCh. 2 - Prob. 10QCh. 2 - Prob. 11QCh. 2 - Prob. 12QCh. 2 - Prob. 13QCh. 2 - Prob. 14QCh. 2 - Prob. 15QCh. 2 - Prob. 16QCh. 2 - Prob. 17QCh. 2 - Prob. 18QCh. 2 - Prob. 19QCh. 2 - Three blocks rest on a table as shown in Figure...Ch. 2 - Two football players start running at opposite...Ch. 2 - Prob. 22QCh. 2 - In SI units, velocity is measured in units of...Ch. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Consider a marble falling through a very thick...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Figure P2.13 shows three motion diagrams, where...Ch. 2 - Prob. 14PCh. 2 - Figure P2.15 shows several hypothetical...Ch. 2 - Prob. 16PCh. 2 - Figure P2.17 shows several hypothetical...Ch. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - For the object described by Figure P2.24, estimate...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60P
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- Sketch a velocity versus time graph for the motion using backwards as the positive direction and forwards as the negative direction. You walk two meters backwards for two seconds at a constant speed, you stop for two seconds, and then return to your starting place walking forward at a steady speed of 0.5 m/s and then you stop again.arrow_forwardA student drives a moped along a straight road as described by the velocity–time graph as shown. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocity–time graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the moped’s final position at t = 9.00 s?arrow_forwardA drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 8 steps forward and 5 steps backward, and so on. Each step is 1 m long and requires 1s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 15 m away from the start.arrow_forward
- Shown below is a graph of velocity versus time for a moving object. The object starts at position x = 0 m at t = 0 s. What is the final position in meters, from t = 0 s to t = 2.0 s? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. (No unit is needed in your answer, it is already given in the question statement.)arrow_forwardA motor car is moving with initial velocity in the x-direction at 30 m/s. After 30 s, the car applies its brakes steadily to slow down the car to a velocity of 10 m/s in 12 s. The continues onward for 10 s more. How far in m did the car travel for the full 52 s? Report your answer to three sig figs, you don't need to write "m". HINT: Break up the problem into three stages - 30s, 12s, and the final 10s. During the 12 s, you'll need the acceleration.arrow_forwardThe displacement of a particle is given by s = 2t3 - 48t2 + 100t - 69 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 21 seconds of motion. After you have made the plots, answer the questions.arrow_forward
- Using the concept of kinematic graphing, draw the displacement, velocity and acceleration curves for a condition where a track cyclist is undergoing constant horizontal acceleration at 2 m/s2 for the first 4 seconds of a race. Show calculations for displacement and velocity at 1, 2, 3 and 4 seconds and include these specific time points in your three plots. Assume the cyclist is at a stand still at time = 0 and his initial displacement and velocity are both equal to 0.arrow_forwardSecond question is: A runner is training for an upcoming road race and sets out for a weekend endurance run. In order to track the pace of the run, the runner records time splits for the entire period. This allows the runner to produce the pictured velocity versus time graph. The run is broken into six segments. (The pictures are in the attachment).arrow_forwardSketch a position vs time graph, a velocity vs time graph, and an acceleration vs time graph for the situation described below. 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 4 s. You continue at that speed until you return to the starting place.arrow_forward
- The displacement of a particle is given by s = 2t³ - 40t² + 84t - 54 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 2.5 sec, At t = 9.3 sec, At t = 11.8 sec, S = S = S = M The velocity is zero when t = i ft, v = ft, v = ft, v = i i sec and when t = ft/sec, a = ft/sec, a = ft/sec, a = i MO i sec ft/sec ft/sec² ft/secarrow_forwardWhen given a velocity vs. time graph, draw the corresponding position vs. time and acceleration vs. time graphs. Graphs should include labels (including numerical values and correct units) for both the horizontal and vertical axes. The values don't have to be exactly right, but they should be relatively close. If possible, find the slope and apply it to a real life situation.arrow_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_forward
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY