Concept explainers
A student drives a moped along a straight road as described by the velocity–time 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 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?
Figure P2.32
Trending nowThis is a popular solution!
Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics
- 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 P2.15arrow_forwardA 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 measurement 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=7.5s?arrow_forwarda tennis ball is thrown straight up and caught at the same height on the way down. which of the following can describe the motion of the ball when it reached its maximum height? a. The acceleration of the ball is zero b. The acceleration of the ball is 9.8 m/s^2 down c. b. The acceleration of the ball is 9.8 m/s^2 down d. The velocity of the ball is zeroarrow_forward
- For the following scenarios is there an instant when the average velocity for the time interval will equal the instantaneous velocity? a) A hockey puck slides across a frozen pond without slowing down b) a race car takes a lap at a race track at a constant speed c) a ball is thrown directly up, rises to its highest point and then falls back to the same height.arrow_forwardBetween t = 0 and t = t0, a rocket moves straight upward with an acceleration given by a(t) = A − Bt1 /2 , where A and B are constants. (a) If x is in meters and t is in seconds, what are the units of A and B? (b) If the rocket starts from rest, how does the velocity vary between t = 0 and t = t0? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time interval?arrow_forwardA body moves in a straight line according to this equation of motion: s(t) = 10+2 4t + 8, where t is measured in seconds and s in meters. a. What is its position at the end of 5 sec? b. What is the equation for its velocity v at any time t? c. What is its velocity v at the end of 5 seconds? d. What is the equation for its acceleration a at any time t? e. What is its acceleration at the end of 5 seconds?arrow_forward
- At time t0=0.0s, a car, starting from rest, moves south. It continues moving south, and by time tf =121s, it has covered a distance of d=6689m. Take north as the positive x direction, as indicated in the figure. Part A: What is the car's average speed, in meters per second, during this period? Part B: What is the car's displacement, in meters, during this period? Part C: What is the car's average velocity, in meters per second, during this period? Part D: A different car, after starting from rest at t0 =0.0s, travels for the same period, tf =121s, attaining a final velocity of vf =−30.0m/s. What is this car's average acceleration, in meters per squared seconds, during the period described?arrow_forwarda.Members of the froghopper family of insects (family Cercopoidea) can accelerate from rest to 0.84 m/s in 5.80 ms. What is the acceleration (in m/s2)? Enter the numerical part of your answer, rounded to three significant figures. b.A western honey bee (Apis mellifera) flies 3.51 m north and then 6.31 m east. What is its displacement from the starting position? Enter only the numerical part of your answer (in m) to the nearest integer.arrow_forwardThe velocity vs time graph for an object is shown. How far has it gone in 4.5 seconds starting at t = 0s? The figure shows the velocity versus time graph for an object. From t = -3 to 0s, the velocity is constant at 45 m/s. From t=0 to 4.5s, velocity decreases linearly from 45 m/s to 0 m/s. 101 m 225 m 150 m 112 marrow_forward
- A skateboarder starts from rest and moves down a hill with constant acceleration in a straight line, traveling for 6 s. In a second trial, he starts from rest and moves along the same straight line with the same acceleration for only 2 s. How does his displacement from his starting point in this second trial compare with that from the first trial? (a) one-third as large (b) three times larger (c) one-ninth as large (d) nine times larger (e) 1/3 times as largearrow_forwardA glider of length moves through a stationary photogate on an air track. A photogate (Fig. P2.44) is a device that measures the time interval td during which the glider blocks a beam of infrared light passing across the photogate. The ratio vd = /td is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration. (a) Argue for or against the idea that vd is equal to the instantaneous velocity of the glider when it is halfway through the photogate in space. (b) Argue for or against the idea that vd is equal to the instantaneous velocity of the glider when it is halfway through the photogate in time.arrow_forwardAn 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.arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning