Which is a correct description of the object's motion? The object is moving at a constant velocity. Then it slows down and stops. The object rolls along a flat surface. It then rolls down a hill, and finally stops. The object moves along a flat surface. Then it rolls down a hill, and keeps goin The object does not move at first. Then it rolls down a hill, and keeps going. The object does not move at first. Then it moves at a constant velocity, and st

Which is a correct description of the object's motion? The object is moving at a constant velocity. Then it slows down and stops. The object rolls along a flat surface. It then rolls down a hill, and finally stops. The object moves along a flat surface. Then it rolls down a hill, and keeps goin The object does not move at first. Then it rolls down a hill, and keeps going. The object does not move at first. Then it moves at a constant velocity, and st

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 52PQ: An object that moves in one dimension has the velocity-versus-time graph shown in Figure P2.52. At...

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A student drives a moped along a straight road as described by the velocity-versus-time graph in Figure P2.12. 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-versus-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 mopeds final position at t = 9.00 s? Figure P2.12
Astronauts on a distant planet toss a rock into the air. With the aid of a camera that takes pictures at a steady rate, they record the rocks height as a function of time as given in the following table. (a) Find the rocks average velocity in the time interval between each measurement and the next. (b) Using these average velocities to approximate instantaneous velocities at the midpoints of the time intervals, make a graph of velocity as a function of time. (c) Does the rock move with constant acceleration? If so, plot a straight line of best fit on the graph and calculate its slope to find the acceleration.
Using Active Figure 2.8, match each vxt graph on the top with the axt graph on the bottom that best describes the motion. Active Figure 2.8 (Quick Quiz 2.3) Parts (a), (b), and (c) are velocitytime graphs of objects in one-dimensional motion. The possible accelerationtime graphs of each object are shown in scrambled order in parts (d), (e), and (f).
A student drives a moped along a straight road as described by the velocitytime graph in Figure P2.32. 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 velocitytime 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 mopeds final position at t = 9.00 s? Figure P2.32
An object that moves in one dimension has the velocity-versus-time graph shown in Figure P2.52. At time t = 0, the object has position x = 0. a. At time t = 5 s. is the acceleration of the object positive, negative, or zero? Explain. b. At time t = 8 s, is the object speeding up, showing down, or moving with constant speed? Explain. c. Write an expression for the position of the object as a function of time. Explain how you use the graph to obtain your answer. d. Use your expression from part (c) to determine the time (if any) at which the object reaches its maximum position. Check your results by examining the graph. Hint: To get started with finding the maximum of a function, take the derivative and set it equal to zero.
Parts (a), (b), and (c) of Figure 2.10 represent three graphs of the velocities of different objects moving in straight-line paths as functions of time. The possible accelerations of each object as functions of time are shown in parts (d), (c), and (f). Match each velocity vs. time graph with the acceleration vs. time graph that best describes the motion. Figure 2.10 (Quick Quiz 2.3) Match each velocity vs. time graph to its corresponding acceleration vs. time graph.
Bacteria move back and forth using their flagella (structures that look like little tails). Speeds of up to 50m/s(50106m/s) have been observed. The total distance traveled by a bacterium is large for its size, whereas its displacement is small. Why is this?
On the velocity-time graph below, sketch a plot representing the motion of an object which is ... . Label each line with the corresponding letter (e.g., "a", "b", "c", etc.) at rest moving in the positive direction at constant speed moving in the negative direction from slow to fast moving in the negative direction from fast to slow moving with a positive velocity and a positive acceleration moving with a positive velocity and a negative acceleration moving with a positive velocity at constant speed and then decelerating to a rest position moving in the positive direction while slowing down, changing directions and moving in the negative directions while speeding up
Salem, Sabrina’s magical black cat, gets scared and jumps straight upward with an initial velocity of 20 m/s from a height of 115-meters.Draw a velocity vs time graph to describe the cat’s motion for the first five seconds of motion.What is the cat’s velocity and acceleration at it’s maximum height?What is the cat’s velocity when it hits the ground?How long does it take for the cat to hit the ground?
The 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?
Based on a grade 11 physics student, answer the following question: The position-time graph below represents the motion of two speed skaters, Bill and Ted on their Excellent Adventure as they time travel back to the 1952 winter Olympics in Oslo. a) What was Ted’s velocity at 20s? b) What was Bill’s velocity during the middle portion of the race? c) What was Ted’s average velocity throughout the race? d) What was Ted’s acceleration through the race? (assume constant) e) Make a velocity-time graph of Bill & Ted’s Speed Skating race.
Draw a velocity versus time graph for an object whose constant velocity is 15 m/s and whose position starts at x= 0 when t = 0 Graph the motion for the first 5.0 seconds. A.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 1 to 3 seconds? B.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 3 to 4 seconds? C.) For the motion graphed in the position versus time graph shown above, what is the average velocity in the time interval 5 to 6 seconds?