A jogger runs due east along a straight jogging trail that is 2 km long. When she reaches the end of the path, she turns around and runs back to the west toward her initial starting point. In which direction does her displacement point after she has run a total distance of 3 km?

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 2, Problem 1CQ

A jogger runs due east along a straight jogging trail that is 2 km long. When she reaches the end of the path, she turns around and runs back to the west toward her initial starting point. In which direction does her displacement point after she has run a total distance of 3 km?

Expert Solution & Answer

To determine

The direction in which the displacement of the jogger point after she run a total distance of 3 km.

Answer to Problem 1CQ

The displacement of the jogger point towards east after she run a total distance of 3 km

Explanation of Solution

Given that the jogger runs up to the end of the straight trail which is towards east and of distance 2 km and runs back towards west such that she covers a distance of 3 km in total. This implies that the distance she covered in the return run is 1 km and the final position of the jogger is at the middle of the trail.

The displacement is the vector from the starting point of the journey to the end point. Hence, the displacement vector in this situation points from the initial position to the midpoint of the trail. That is, the displacement of the jogger point towards the east direction.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

02:10

Students have asked these similar questions

You are standing a distance x = 1.75 m away from this mirror. The object you are looking at is y = 0.29 m from the mirror. The angle of incidence is θ = 30°. What is the exact distance from you to the image?

For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you

A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).

Answer 2

Textbook Question

Chapter 2, Problem 1CQ

A jogger runs due east along a straight jogging trail that is 2 km long. When she reaches the end of the path, she turns around and runs back to the west toward her initial starting point. In which direction does her displacement point after she has run a total distance of 3 km?

Expert Solution & Answer

To determine

The direction in which the displacement of the jogger point after she run a total distance of 3 km.

Answer to Problem 1CQ

The displacement of the jogger point towards east after she run a total distance of 3 km

Explanation of Solution

Given that the jogger runs up to the end of the straight trail which is towards east and of distance 2 km and runs back towards west such that she covers a distance of 3 km in total. This implies that the distance she covered in the return run is 1 km and the final position of the jogger is at the middle of the trail.

The displacement is the vector from the starting point of the journey to the end point. Hence, the displacement vector in this situation points from the initial position to the midpoint of the trail. That is, the displacement of the jogger point towards the east direction.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

02:10

Answer 3

Textbook Question

Chapter 2, Problem 1CQ

A jogger runs due east along a straight jogging trail that is 2 km long. When she reaches the end of the path, she turns around and runs back to the west toward her initial starting point. In which direction does her displacement point after she has run a total distance of 3 km?

Expert Solution & Answer

To determine

The direction in which the displacement of the jogger point after she run a total distance of 3 km.

Answer to Problem 1CQ

The displacement of the jogger point towards east after she run a total distance of 3 km

Explanation of Solution

Given that the jogger runs up to the end of the straight trail which is towards east and of distance 2 km and runs back towards west such that she covers a distance of 3 km in total. This implies that the distance she covered in the return run is 1 km and the final position of the jogger is at the middle of the trail.

The displacement is the vector from the starting point of the journey to the end point. Hence, the displacement vector in this situation points from the initial position to the midpoint of the trail. That is, the displacement of the jogger point towards the east direction.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

02:10

Answer 4

Textbook Question

Chapter 2, Problem 1CQ

A jogger runs due east along a straight jogging trail that is 2 km long. When she reaches the end of the path, she turns around and runs back to the west toward her initial starting point. In which direction does her displacement point after she has run a total distance of 3 km?

Expert Solution & Answer

To determine

The direction in which the displacement of the jogger point after she run a total distance of 3 km.

Answer to Problem 1CQ

The displacement of the jogger point towards east after she run a total distance of 3 km

Explanation of Solution

Given that the jogger runs up to the end of the straight trail which is towards east and of distance 2 km and runs back towards west such that she covers a distance of 3 km in total. This implies that the distance she covered in the return run is 1 km and the final position of the jogger is at the middle of the trail.

The displacement is the vector from the starting point of the journey to the end point. Hence, the displacement vector in this situation points from the initial position to the midpoint of the trail. That is, the displacement of the jogger point towards the east direction.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

02:10

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The direction in which the displacement of the jogger point after she run a total distance of 3 km.

Answer to Problem 1CQ

The displacement of the jogger point towards east after she run a total distance of 3 km

Explanation of Solution

Given that the jogger runs up to the end of the straight trail which is towards east and of distance 2 km and runs back towards west such that she covers a distance of 3 km in total. This implies that the distance she covered in the return run is 1 km and the final position of the jogger is at the middle of the trail.

The displacement is the vector from the starting point of the journey to the end point. Hence, the displacement vector in this situation points from the initial position to the midpoint of the trail. That is, the displacement of the jogger point towards the east direction.

Answer 8

Expert Solution & Answer

To determine

The direction in which the displacement of the jogger point after she run a total distance of 3 km.

Answer to Problem 1CQ

The displacement of the jogger point towards east after she run a total distance of 3 km

Explanation of Solution

Given that the jogger runs up to the end of the straight trail which is towards east and of distance 2 km and runs back towards west such that she covers a distance of 3 km in total. This implies that the distance she covered in the return run is 1 km and the final position of the jogger is at the middle of the trail.

The displacement is the vector from the starting point of the journey to the end point. Hence, the displacement vector in this situation points from the initial position to the midpoint of the trail. That is, the displacement of the jogger point towards the east direction.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The direction in which the displacement of the jogger point after she run a total distance of 3 km.

Answer 12

Answer to Problem 1CQ

The displacement of the jogger point towards east after she run a total distance of 3 km

Answer 13

Explanation of Solution

Given that the jogger runs up to the end of the straight trail which is towards east and of distance 2 km and runs back towards west such that she covers a distance of 3 km in total. This implies that the distance she covered in the return run is 1 km and the final position of the jogger is at the middle of the trail.

The displacement is the vector from the starting point of the journey to the end point. Hence, the displacement vector in this situation points from the initial position to the midpoint of the trail. That is, the displacement of the jogger point towards the east direction.