A particle starts from rest and undergoes accelerations as plotted in Fig. 3 below for the first three seconds. Plot a graph of (a) velocity v as a function of time t and (b) position x as a function of time t taking x, = 0. Find (c) the maximum velocity during the period and (d) the distance moved by the particle in 3.0 s. a(m/s4 10.0- 5.0 1.00 200 3.00 t(s) -5.0 Fig. 3 -10.0+

A particle starts from rest and undergoes accelerations as plotted in Fig. 3 below for the first three seconds. Plot a graph of (a) velocity v as a function of time t and (b) position x as a function of time t taking x, = 0. Find (c) the maximum velocity during the period and (d) the distance moved by the particle in 3.0 s. a(m/s4 10.0- 5.0 1.00 200 3.00 t(s) -5.0 Fig. 3 -10.0+

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: A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is…

A: Displacement function, r(t) = 6t4-2t3 -12t2+3t+3 Average velocity, v = ? Time at which…

Q: The graph shows the displacement-time history for the rectilinear motion of a particle during an…

A: Given that: The distance vs time graph: It is required to determine the velocity of the whole…

Q: Part (a) What is the velocity at time 5.6 s? Part (b) What is the acceleration at time 16.8 s? Part…

A: a) Velocity at the time 5.6s=10 m/s b) Acceleration from Velocity- time graph time=16.8 s velocity…

Q: A particle starts from rest at x = -4.0 m and moves along the x-axis with the velocity history…

Q: measured from ground level and the positive direction is upward.) d (m) 36 32 28 24 20 16 12 8. 4 by…

A: Instantaneous speed of elevator is given by the relation- Instantaneous speed: v = riserun Where,…

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: The function s(t) describes the motion of a particle along a line. s(t) = t3 - 11t² + 35t – 250 (a)…

A: (a) The velocity of the particle can be determined by differentiating the displacement function with…

Q: The position of a particle is 7 (t) = (4t"a+ 6y – 2t£) m. a. Determine its velocity and acceleration…

A: r(t) = 4t2i + 6j - 2tk m

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

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 position of a particle in millimeters is given by s = 60 - 17t + t² where t is in seconds. Plot…

Q: (Figure 1) shows the velocity graph of a particle moving along the x-axis. Its initial position is o…

A: Solution:Given:See the graph. x0 = initial position at t0 = 2.0 mt0 = particular time instant = 0…

Q: A particle starts from rest at x = -2.0 m and moves along the x-axis with the velocity history…

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

Q: A particle starts from rest at x = -2.4 m and moves along the x-axis with the velocity history…

Q: A particle travels in a linear path A-B-C. It start from rest at A and reaches B after 2 s. The…

A: Apply the second kinematic equation from A to B to calculate the distance traveled in path AB.…

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

Q: A particle moves along the +ve direction of x-axis. Its position x depends on time t as…

A: Given:Position of particle (x)=at3+bt2+c+d

Q: Which velocity graph shows the car moving toward the left (toward the origin) at a steady (constant)…

A: The car moves in left side, So the velocity of the car is must be in Nagative: So, Either Option B…

Q: A particle moves along a horizontal line. Its position function is s(t) for t 2 0. For each problem,…

A: Given, S(t)=-t³+15t²

Q: A particle's position varies with time given by the following equation: x(t) = 35.2[m] +…

Q: A particle undergoes a constant acceleration of 4.00 m/s². After a certain amount of time, its…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Question

14. A particle starts from rest and undergoes accelerations as plotted in Fig. 3 below for
the first three seconds. Plot a graph of (a) velocity v as a function of time t and (b)
position x as a function of time t taking x, = 0. Find (c) the maximum velocity
during the period and (d) the distance moved by the particle in 3.0 s.
a(m/s
10.0
5.0-
2.bo
t(s)
3.00
1.00
-5.0-
Fig. 3
-10.0+

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 6 images

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

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
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
An object is moving with a constant acceleration in a straight line from Point A to Point B. The distance between the two points is 58 m, the time taken is At = 5.98 s, and the final speed of the object at Point B is 11.96 m/s. What is the initial speed of the object at Point A?
A brick is dropped from the roof of a tall building. After it has been falling for a few seconds, it falls 41.0 mm in a 1.00-ss time interval.What distance will it fall during the next 1.00 s? Ignore air resistance.
If a particle increases in speed at a constant rate as it moves in the positive direction along an x axis, which of the following describes a plot of its velocity versus time? O plot has constant positive slope plot has constant negative slope O plot has zero slope
the figure. 2 For t> 3 s. ✓ Correct! The position as a function of time for a particle moving along the x-axis is shown v(mis) - is the partiele moving in the X ✓ Correct! x(m) 1 0.75 0.5 0.25 A Otheexp The position of the particle as a function of time is given by x(t) = e(t - 3)², where x is in meters and t is in seconds. What is the v the particle, in meters per second, at t = 2.9 s? v(t) = 1
Determine the displacement of the object over the interval 0 s to 1.0 s, 0 s to 2.0 s, Os to 3.0 s, and 0 s to 4.0 s. then draw the displacement-time graph. v (m/s [E]) 40 30 20 10 0 0 1.0 2.0 t(s) 3.0 4.0
An object is thrown straight upward with an initial velocity of 11.7 m/s. What is the object's maximum upward displacement? Enter a number assuming proper SI Units.
The position of a particle moving along the x axis varies in time according to the expression x = 6t 2, where x is in meters and t is in seconds. Evaluate its position at the following times. (a) t = 2.40 s (b) t = 2.40s + At Xf = (c) Evaluate the limit of Ax/At as At approaches zero to find the velocity at t = 2.40 s. m/s
The velocity of a particle is given by v(t) =t² – 2t. The position of the particle at the time t = 0 is S(0) = 0. 1. Find a formula for the position S(t) at time t. 2. Find the displacement of the object on [0,3]. 3. Find the total distance traveled by the particle on [0,3].
A particle starts from rest at x = -3.4 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. 1, m/s 5.1 0 0 Questions 1 At t = 0.36 S, At t = 1.63 S, 1 Att = 3.56 S, X = X = 1 2 i i 3 4 -1.1 m, v= i m, V= i m, v = i m/s, a = m/s, a = m/s, a = i i i m/s² m/s² m/s²
solve the following exercise