The velocity vs. time graph for an object moving along a straight path is shown in Figure P2.22.(m/s)1520Figure 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 sm/s25.0 s to 15.0 sm/s?O s to 20.0 Sm/s?(b) Find the instantaneous accelerations at 2.0 s, 10 s, and 18 s.2.0 sm/s?10.0 sm/s218.0 sm/s?

The average acceleration of the object during a time interval can be found by evaluating the ratio…

Answered: The velocity vs. time graph for an…

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 2P

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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
A particle starts from rest and accelerates as shown in Figure P2.20. Determine (a) the particles speed at t = 10.0 s and at t = 20.0 s, and (b) the distance traveled in the first 20.0 s. Figure P2.20
The Acela is an electric train on the Washington-New YorkBoston run, carrying passengers at 170 mi/h. A velocity-time graph for the Acela is shown in Figure P2.69. (a) Describe the train's motion in each successive lime interval, (b) Find the trains peak positive acceleration in the motion graphed, (c) Find the trains displacement in miles between t = 0 and t = 200 s.
The Acela is an electric train on the WashingtonNew YorkBoston run, carrying passengers at 170 mi/h. A velocitytime graph for the Acela is shown in Figure P2.46. (a) Describe the trains motion in each successive time interval. (b) Find the trains peak positive acceleration in the motion graphed. (c) Find the trains displacement in miles between t = 0 and t = 200 s. Figure P2.46 Velocity versus time graph for the Acela.
An object is at x = 0 at t = 0 and moves along the x axis according to the velocitytime graph in Figure P2.40. (a) What is the objects acceleration between 0 and 4.0 s? (b) What is the objects acceleration between 4.0 s and 9.0 s? (c) What is the objects 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? (f) 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? Figure P2.40
A parcel of air moving in a straight tube with a constant acceleration of 4.00 m/s2 has a velocity of 13.0 m/s at 10:05:00 a.m. (a) What is its velocity at 10:05:01 a.m.? (b) At 10:05:04 a.m.? (c) At 10:04:50 a.m.? (d) Describe the shape of a graph of velocity versus time for this parcel of air. (e) Argue for or against the following statement: Knowing the single value of an objects constant acceleration is like knowing a whole list of values for its velocity.
A 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.
To pass a physical education class at a university, a student must run 1.0 mi in 12 min. After running for 10 min, she still has 500 yd to go. If her maximum acceleration is 0.15 m/s2, can she make it? If the answer is no, determine what acceleration she would need to be successful.
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.
The 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 m
A bus moves along an x-axis a distance of 800 m, starting at rest (at x = 0) and ending at rest (at x = 800 m). Through the first 2 of that distance, its acceleration is +2.15 m/s?. Through the rest of the distance, its acceleration is -0.92 m/s?. Calculate a) time taken to cover the first half of the distance? b) the bus's maximum speed? c) total time to cover 800 m distance? Sketch velocity time graphs.
A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by equation x(t) = At2 – Bt3 , where A = 2.40 m/s2 and B = 0.120 m/s2 . (a) Calculate the average velocity of the car for the time interval t1 = 0s to t2 = 10.0 s (b) Calculate the instantaneous velocity of the car at t = 0s, t = 5.0s and t = 10.0s (c) How long after starting from rest is the car again at rest?

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