**Problem Overview:**A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of the rider over segment C.**Graph Description:**- **Axes:** - The x-axis represents time in seconds (s) from 0 to 25 seconds. - The y-axis represents velocity in meters per second (m/s) from 0 to 8 m/s.- **Segments:** - The graph is divided into three line segments labeled A, B, and C. - **Segment A**: - From (0 s, 0 m/s) to (10 s, 2 m/s). - **Segment B**: - From (10 s, 2 m/s) to (15 s, 6 m/s). - **Segment C**: - From (15 s, 6 m/s) to (25 s, 2 m/s).**Question Options for Displacement Over Segment C:**- A. 20 m- B. 10 m- C. -10 m- D. -20 m/s- E. none of the above**Solution:**To find the displacement over segment C, calculate the area under the velocity-time graph from 15 to 25 seconds. The area can be calculated as a trapezoid with bases 6 m/s and 2 m/s and a height of 10 s.- **Trapezoid Area Formula:** \[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \] \[ \text{Area} = \frac{1}{2} \times (6 + 2) \times 10 = 40 \, \text{m} \]Thus, the displacement over segment C is **40 meters**. However, none of the provided options match this result, suggesting option E, "none of the above," might be correct. **Question 1**A rider on horseback moves according to the velocity vs. time graph shown. Find the rider’s average acceleration over segment C.**Graph Description:**- The graph is a velocity vs. time graph with velocity (v) in meters per second (m/s) on the y-axis and time (t) in seconds (s) on the x-axis.- The graph is divided into three segments labeled A, B, and C.- Segment A: From (0, 0) to (10, 4).- Segment B: From (10, 4) to (15, 6).- Segment C: From (15, 6) to (25, 0).**Answer Choices:**- A: \(0.4 \, \text{m/s}^2\)- B: \(-2.5 \, \text{m/s}^2\)- C: \(-0.4 \, \text{m/s}^2\)- D: \(0 \, \text{m/s}^2\)- E: None of the above

Name: **Problem Overview:**A rider on horseback moves according to the velo
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: **Problem Overview:**A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of the rider over segment C.**Graph Description:**- **Axes:** - The x-axis represents time in seconds (s) from 0 to 25 seconds. -

Answered: Image /qna-images/answer/03a6e8d7-620e-4967-b93f-a2f09b690e70.jpg

Science

Physics

A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of the rider over segment C. 8 B A 10 15 20 25 Time, t (s) О А. 20 m О В. 10 m О С.-10 m O D. -20 m/s O E. none of the above Velocity, v (m/s)

A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of the rider over segment C. 8 B A 10 15 20 25 Time, t (s) О А. 20 m О В. 10 m О С.-10 m O D. -20 m/s O E. none of the above Velocity, v (m/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: 18. A car starts from rest and travels in a straight line with a constant acceleration of 7.00…

A: The acceleration of the car,

Q: A student drove to the university from her home and noted that the odometer reading of her car…

A: Given: The distance covered by the car d = 12 km. The time taken by the car t = 18 min.

Q: 10. Which of the following is the velocity-time graph of an object moving with decreasing…

A: As per our guidelines we are instructed to answer only three sub-parts in one session. Please post…

Q: A train moving with constant acceleration travels 7. 50 m the 10 th sccond Of its motion during and…

A: Given Distance travelled by train during the 10th second of its motion i.e S10 = 7.50 m Distance…

Q: A bicycle rider travels 20,0 km north in 1.5 hours. She then turns directly south and travels 10.0…

A: given that,distance travelledd=20 kmtime takent1=1.5 hdistance travelled along southd2=10 kmtime…

Q: A bus travels with a speed of 75 mi/h. This speed in S.I. units is .(Given 1 mile = 1.609 km) O a.…

A: Given :. V = 75 mi/h 1 mi = 1.609 km And 1 km = 1000 m So one mile = 1.609 x 1000 m 1 hr = 60x60 s…

Q: A stone vertically thrown downward with an initial speed of 12.0 m/s from the roof of a building,…

A: Given: v0 =−12m/s (it is travelling downwards) h=−30m Now, Vf2=v02-2ghVf=(-12 m/s)2-2(10…

Q: An object starts at position r1 with velocity v1. It speeds up in the positive direction until it…

Q: The minimum displacement required to stop a car moving at velocity 20 m/s is 50 m. How long does it…

Q: For questions 2 & 3, use the following problem: An object moves on a straight line so tha after t…

A: x(t) = t2 - 2t

Q: The position of a particular particle as a function of time is given by r = (9.60t i + 8.85 j 1.00…

Q: The graph of the velocity versus time for an object is as shown.: Au 2 3 103 5 0 -5 -10- t(s) 5 6 a.…

Q: A car travels 105 m with constant deceleration of 2.4 m/s2 in 3 seconds. What is the initial…

A: Given data: Here, S represents the distance, t represents the time, and a represents the…

Q: Which segment of this graph shows a decreasing velocity? yt F 80 DE E 60 (m)

A: Velocity in the position time graph is given as the slope of the graph. In the segment A to B, the…

Q: Person who walks for exercise produces the position-time graph given with this problem. Without…

A: Velocity (v ) is defined as the ratio of displacement (∆s) to the time taken (∆t), that is ,…

Q: A football quarterback runs 11.5 m straight down the playing field in 2.42 s. He is then hit and…

A: Distance traveled and time,

Q: 1. An object is thrown with an initial upward velocity. Taking the upward direction to be positive…

Q: Suppose an object moves along a line at 10 m/s for 0sts2 s and at 16 m/s for 2<ts5 s. Sketch the…

Q: 7. a. Which object is moving faster? b. Which object has a negative velocity accord- ing to the con-…

A: Based on the position time graph the instantaneous velocity is defined as the slope of the curve at…

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

**Problem Overview:**

A rider on horseback moves according to the velocity vs. time graph shown. Find the displacement of the rider over segment C.

**Graph Description:**

- **Axes:**
- The x-axis represents time in seconds (s) from 0 to 25 seconds.
- The y-axis represents velocity in meters per second (m/s) from 0 to 8 m/s.

- **Segments:**
- The graph is divided into three line segments labeled A, B, and C.

- **Segment A**:
- From (0 s, 0 m/s) to (10 s, 2 m/s).

- **Segment B**:
- From (10 s, 2 m/s) to (15 s, 6 m/s).

- **Segment C**:
- From (15 s, 6 m/s) to (25 s, 2 m/s).

**Question Options for Displacement Over Segment C:**

- A. 20 m
- B. 10 m
- C. -10 m
- D. -20 m/s
- E. none of the above

**Solution:**

To find the displacement over segment C, calculate the area under the velocity-time graph from 15 to 25 seconds. The area can be calculated as a trapezoid with bases 6 m/s and 2 m/s and a height of 10 s.

- **Trapezoid Area Formula:**
\[
\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}
\]
\[
\text{Area} = \frac{1}{2} \times (6 + 2) \times 10 = 40 \, \text{m}
\]

Thus, the displacement over segment C is **40 meters**. However, none of the provided options match this result, suggesting option E, "none of the above," might be correct.

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 with 3 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

Consider the following examples regarding distance, displacement, speed and velocitya. A track athlete runs a 1600-meter race in 250 seconds. In this race, they start and end atthe same point.i. Total distance traveled by the athlete?ii. Total displacement of the athlete?iii. Average velocity of the athlete for the race?iv. Average speed of the athlete for the race?b. A track athlete runs the 100 meter dash in 10 secondsi. Total distance traveled by the athlete?ii. Total displacement of the athlete?iii. Average velocity of the athlete for the race?iv. Average speed of the athlete for the race?
3. A jet plane has a takeoff speed of Vtakeoff = 60 m/s and can move along the runway at an average acceleration of 2.0 m/s². The runway is 1.5 km. a. Write out the 3 Kinetic equations. 2. v2-U2= Jas 3.5=uttata2 b. Write out the values of initial position, initial velocity, and acceleration. initial position uloity- a: 0.2m/s init.al aueleradion- How many seconds will it take for the plane to reach takeoff speed? С. d. How far will the plane have to travel to get to takeoff speed? e. will the plane be able to get to 60 m/s before it gets to the end of the runway?
26. At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by -0.50t, in m/s² for t in seconds. By the time it stops it has traveled: A. 15 m В. 31 m С. 62 m D. 85 m Е. 100 m ans: D
Given that average speed is distance traveled divided by time, determine the values of mm and nn when the time it takes a beam of light to get from the Sun to the Earth (in ss) is written in scientific notation. Note: the speed of light is approximately 3.0××108 m/s.
Which of the following is a motion diagram between t = 5.00 s and t = 9.00 s? a. options in atttachemnt b. What is the acceleration between t = 5.00 s and t = 9.00 s? If the acceleration is to +x-direction, enter a positive value and if the acceleration is to –x-direction, enter a negative value. anser in m/s^2
I cant do number 9.
A toy r A Rocket initially at rest, launched vertically from a ground with an acceleration of 20 m/s2 for 6.0s until its engine stops. Disregarding any air resistance, calculate what is the maximum height above the ground the rocket achieved? (Hint: after the stop of engine the rocket continues to move under acceleration of gravity) Hint O a. 1.1km O b. 1.9km O c.0.79km O d. 0.8km O e.0.73km
A ball is thrown straight up. What is the velocity and acceleration of the ball at the higest point (peak)? A. velocity = 0m/s and acceration = 9.8 m/s2 down. B. velocity = 0 m/s amd acceleration = 0 m/s2 C. velocity = 0 m/s and acceleration = 9.8 m/s2 up D. velocity = 9.8 m/s up and acceleration = 0 m/s2
2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.
A truck covers 80 m in 16 s while uniformly slowing down to come to rest. What is the initial velocity of the truck? Select one: О А. 40 m/s O B. 10 m/s ОС. 5 m/s O D. 20 m/s ОЕ. 3.33 m/s
A car travelling due north at 18.5 m/s. What is the velocity of the car after 9.2s if it is accelerating at the rate of 2.2 m/s²? A. 38.74 m/s В. 172.4 m/s С. 20.7 m/s D. 170.2 m/s O D O A ов