Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Figure 2.68 shows the displacement graph for a particle for 5 s. Draw the corresponding velocity and acceleration graph

As the velocity is constant in the interval t = 0 to 6 s, the acceleration for this motion is zero.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Understanding situation with motion graph

To analyze movement, motion graphs can be employed.

The mathematical approaches and graphical solutions for determining motion equations are the same.

The slope of a graph of displacement x vs. time t represents velocity v.

The inclination of a graph of velocity v vs. time t is called acceleration.

Average velocity, instantaneous velocity, and acceleration can all be calculated using graphs.

Calculating velocity at each time

Here we can see in the graph that there is a trend of increasing velocity in time \[t = 0\] to \[t = {\rm{ }}2s\].

For this, the time velocity is constant; let’s take coordinates \(\left( {0,0} \right)\) and \(\left( {2,2} \right)\).

\(\begin{array}{l}m = \frac{{{Y_2} - {Y_1}}}{{{x_2} - {x_1}}}\\m = \frac{{2 - 0}}{{2 - 0}}\\m = 1\,m/s\end{array}\)

Hence the velocity at \(0\) to \(2{\rm{ s}}\)is \[1{\rm{ }}m/s\].

Similarly, here we can see in the graph that there is a trend of decreasing trend velocity in time \[t = 2\] to \[t = {\rm{ }}3s\].

For this time, velocity is constant; let’s take coordinates \(\left( {2,2} \right)\) and \(\left( {3, - 3} \right)\)

\(\begin{array}{l}m = \frac{{{Y_2} - {Y_1}}}{{{x_2} - {x_1}}}\\m = \frac{{ - 3 - 2}}{{3 - 2}}\\m = - 5\,\,m/s\end{array}\)

Hence the velocity for the interval \(2\) to \(3 s\) is \[ - 5{\rm{ }}m/s\].

Similarly, here we can see in the graph that there is a trend of constant velocity in time interval \(t = 3\) to \(t = 5 s\).

For this time, velocity is constant; let’s take coordinates \(\left( {3, - 3} \right)\) and \(\left( {5, - 3} \right)\).

\(\begin{array}{l}m = \frac{{{Y_2} - {Y_1}}}{{{x_2} - {x_1}}}\\m = \frac{{ - 3 + 3}}{{5 - 3}}\\m = 0\,\,m/s\end{array}\)

Hence the velocity during t = \(3\) to \(5 s\) is \[0{\rm{ }}m/s\].

Similarly, here we can see in the graph that there is a trend of increasing velocity in duration \(t = 5 s\) to \(t = 6 s\).

For this time, velocity is constant; let’s take coordinates \(\left( {6, - 2} \right)\) and \(\left( {5, - 3} \right)\).

\(\begin{array}{l}m = \frac{{{Y_2} - {Y_1}}}{{{x_2} - {x_1}}}\\m = \frac{{ - 3 + 2}}{{5 - 6}}\\m = 1\,\,m/s\end{array}\)

Hence the velocity at the interval \(5\)to \(6 s\) is \[1{\rm{ }}m/s\].

Hence the above figure shows the velocity of the system.

As the velocity is constant during \[t{\rm{ }} = 0\] to \(6\) s, the acceleration for this motion is zero.

Find Study Materials for

Create Study Materials

Select your language

College Physics (Urone)

Answers without the blur.

Short Answer

Figure 2.68 shows the displacement graph for a particle for 5 s. Draw the corresponding velocity and acceleration graph

Step by Step Solution

Understanding situation with motion graph

Calculating velocity at each time

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

College Physics (Urone)

Answers without the blur.

Short Answer

Figure 2.68 shows the displacement graph for a particle for 5 s. Draw the corresponding velocity and acceleration graph

Step by Step Solution

Understanding situation with motion graph

Calculating velocity at each time

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics