The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. х (m) 10 8 4 t (s) 1 2 3 4 5 6 7 8 -2 -4 -6 (a) 0 to 2 S m/s (b) 0 to 3 s m/s (c) 3 to 6 s m/s

The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals. х (m) 10 8 4 t (s) 1 2 3 4 5 6 7 8 -2 -4 -6 (a) 0 to 2 S m/s (b) 0 to 3 s m/s (c) 3 to 6 s m/s

Name: The position versus time for a certain particle moving along the x ax
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals.х (m)1084t (s)1 2 3 4 5 6 7 8-2-4-6(a) 0 to 2 Sm/s(b) 0 to 3 sm/s(c) 3 to 6 sm/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The velocity versus time graph for a golf ball struck from the ground is shown in the graph below.…

A: From 2 to 2.5 s, the slope of the graph is negative and from 2.5 to 5 s, the slope of the graph is…

Q: The position versus time for a certain particle moving along the x axis is shown in the figure…

A: The average velocity is equal to the ratio of the change in position to the change in time. From the…

Q: v (m/s) 4 2 2 3 t(s)

Q: (d) About how fast is the person moving at t 6.0s?

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: n object undergoes acceleration 1.2i+2.4j m/s2 for 4.5 s at which time its velocity is 21i+11j m/s.…

Q: 5 4 3 3 4. 5 8 T(s) What is the displacement of the object between t = 0 s and t = 5 s? 24 m 30 m 15…

A: Given, velocity versus time graph. we know that velocity is the derivative of displacement with…

Q: 3. The graph shows the velocity vs. time motion for a bicycle. How far does the bicycle travel in…

Q: An object on a number line moved from x = 12 m to x = 124 m andmoved back to x = 98 m. The time…

A: Given, Initial position of the object = X1 = 12 m Then the object moved to position 2, X2 = 124 m…

Q: A particle moves in one dimension, and its position as a function of time is given by x = (2.2 m/s)t…

A: The objective of this question is to find the average velocity of a particle moving in one…

Q: A particle starts at the origin (x = 0) and moves in one dimension. The figure shows the velocity of…

Q: The position-versus-time graph shown below corresponds to an ant moving along the + x-direction.…

A: Average velocity = total displacement /total time taken

Q: Shown below is the velocity vs. time graph for a particle's one-dimensional motion. v (m/s) t(s) W…

A: Acceleration is the rate of change of velocity with respect to time. So, if velocity and…

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

Q: A particle's position is given by x = 7 - 14t + 2t2 (where t is in seconds and x is in meters). (a)…

Q: The position versus time for a certain particle moving along the x axis is shown in the figure…

A: Solution: Formula: Average Velocity = Displacement/Change in time a) 0 to 2 s change in time = 2 - 0…

Q: A position-time graph for a particle moving along the x axis is shown in the figure below. x (m) 12A…

Q: A particle moves in one dimension, and its position as a function of time is given by x = (2.2 m/s)t…

A: The objective of the question is to find the average velocity of a particle moving in one dimension,…

Q: The following plot is x vs. t. Select all the regions in time that have negative velocity. 3.25+ 3…

A: Given: The position versus time graph is given as,

Q: How do you find the total distance and displacement as well as the average speed and velocity?

A: Given:- (a) It is observed by the maximum trust T regardless of power setting at a speed…

Q: The velocity of a particle is v = {3i+ (6-2t)j} m/s. If r=0 when t=0, determine the displacement of…

A: The velocity and displacement are vector quantities. That is they have both magnitude and direction.…

Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

Q: The following data describe the position of an object along the x-axis as a function of time. Time…

Q: A car is waiting at an intersection. When the traffic light turns green, the car starts moving.…

Q: A common graphical representation of motion along a straight line is the v vs. t graph, that is, the…

Q: The position versus time for a certain particle moving along the x axis is shown in the fiqure…

A: The position time graph for a certain particle is shown in figure slope of this graph gives average…

Q: The figure shows the velocity of an object as it travels along the x-axis. What is the closest value…

Q: the x 30,0 m position. v (m/s)4 20 15 10 5 -5 -10 -15 -20 1 2 3 4 -6.00 s? a. What is its position…

Q: In this graph of displacement versus time, what is the average velocity in going from point B to…

A: Average velocity = (final position - initial position)/time taken Final position (point J) =1m…

Q: The position of a particle moving along the x-axis is given by x = (21+22t-6.0t^2)m, where t is in…

A: At t1 = 1.0s, the position x1 is,

Q: An object undergoes acceleration 2.3i +3.6j m/s² for 5.9 s at which time its velocity is 33i +15j…

Q: At t=0, a particle starts with an initial velocity of 10 i m/s and accelerates uniformly at (-2.0 i…

A: Given initial speed (u)=10 m/s Acceleration (a)=(-2.0 i +4.0 j) m/s2 Required speed at t=5 s

Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity in the following time intervals.
х (m)
10
8
4
t (s)
1 2 3 4 5 6 7 8
-2
-4
-6
(a) 0 to 2 S
m/s
(b) 0 to 3 s
m/s
(c) 3 to 6 s
m/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Position of a particle moving along the x-axis varies in time according to the following expression x(t) = (-2,0 ") e* + (6.0")t- 2 m t +(6.0")t- What is its average velocity for the time interval t = 0.0 s to t = 2.0 s? O -6.0 m/s 4.0 m/s -3.0 m/s O-5.0 m/s O -4.0 m/s O -2.0 m/s -8.0 m/s
Suppose an object starts at time t=0 at a position defined as x=0 m. At t =.5 s the object is at x=1.5 m. At t =1 s the object is at 2.0 m. What is the average velocity for the first interval (approximated at t=.25 s) and the second interval (approximated at t=.75 s)? I'm mainly confused about what is meant by approximated at t=.25 and t=.75?
A particle has a displacement given by the equation x(t) = 3.0 + 2.0t, where x is in meters and t is in seconds. What is the average velocity of the particle between t= 1.0 s and t= 2.0 s? O 19 m/s 9.5 m/s 14 m/s 7.0 m/s
A particle moves along the positive x-axis and its position as a function of time is x(t)=(19.9 m/s)t − (1.7 m/s^2)t^2. What is the average velocity in the time interval between 2.3s and 3.7s in m/s?
A particle moves in one dimension, and its position as a function of time is given by x = (2.2 m/s)t + (−3.2 m/s2)t2. (a) What is the particle's average velocity (in m/s) from t = 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.) Average velocity is the change in position over change in time. Think about how to use the function to find the change in position. m/s (b) What is the particle's average velocity (in m/s) from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.) m/s
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 at t = 4.0 s, in meters?
If the following is a graph of the velocity, in the x direction, of an object as a function time, what is the objects position at a time of 18.0 s, if its initial position was x = 11.3 m? V(mis) 6+ 5+ 4+ 3- 2+ 1+ +t 8 10 12 14 16 18 + (s) 2 4 6
The position of a particle moving in the xy -plane is given by 7(t) = (3t2 – t³)î + (t*)j + (- 6t)k. What is the average acceleration of the particle over the time interval between t = 1 s and t = 2 s?
A particle moves in one dimension, and its position as a function of time is given by x = (2.1 m/s)t + (−3.0 m/s2)t2. (a) What is the particle's average velocity from t = 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.)(b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.)
A particle starts from rest at x = -2.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 4 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. v, m/s IN 1 1 2 3 4.8 0 Questions Att = 0.39 s, X = At t = 1.33 s, X = At t = 2.51 s, X = IN i 4 -1.1 The particle will cross the origin when t = 3 m, m, 3 m, V = i V = V = i S. m/s, a = m/s, a = m/s, a = m/s² m/s² m/s²
The position of a particle is r(t) = (5.0t2î – 4.0j + 6.0t³k) m. (a) What is the velocity of the particle at 0 s and at 1.0 s (in m/s)? (Express your answers in vector form.) v(0 s) m/s v(1.0 s) m/s (b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.) Vavg m/s
The velocity of an object, moving in the x direction, is shown in Figure 2. numbers are in SI units. All 4 a) Assuming the particle started its motion at x = 0, what is the position of the particle at t = 4 s? 2 t 2 4 6 8 10 12 14 -2 b) What is the position of the particle at -4 t = 14 s? Figure 2