**Acceleration Analysis of a Train****Problem Overview:**An accelerograph records the acceleration of a train. Assume the train was moving in a straight line and the velocity of the train at \( t = 0 \) was \( 0 \) m/s. Some of the data values for the acceleration of the train are shown below.**Data Table:**| \( t \) (seconds) | \( 0 \) | \( 1 \) | \( 2 \) | \( 3 \) | \( 4 \) ||-------------------|---------|---------|---------|---------|---------|| \( a(t) \) (m/s\(^2\)) | \( 3 \) | \( 2 \) | \( 1 \) | \( -1 \) | \( -2 \) |**Questions:**1. **The table indicates that \( a(1) = 2 \) m/s\(^2\). What does that tell you about the velocity?**2. **The table indicates that \( a(3) = -1 \) m/s\(^2\). What does this tell you about the velocity?**3. **When is the velocity of the train going to be the greatest? Defend your conclusion by clearly explaining your reasoning or approach to solving this problem.****Explanation of Graphs/Diagrams:**- **Data Table Explanation:** - The table presents the acceleration \( a(t) \) of the train at different time intervals \( t \). - Positive acceleration values indicate the train is speeding up, while negative values indicate the train is slowing down.**Key Points for Analysis:**1. **Understanding Acceleration and Velocity:** - Acceleration indicates the rate of change of velocity. - If acceleration is positive, velocity increases. - If acceleration is negative, velocity decreases.2. **Impact of \( a(1) = 2 \) m/s\(^2\):** - At \( t = 1 \) second, acceleration is \( 2 \) m/s\(^2\), which means the velocity is increasing at this point.3. **Impact of \( a(3) = -1 \) m/s\(^2\):** - At \( t = 3 \) seconds, acceleration is \( -1 \) m/s\(^2\), indicating that

Acceleration is defined as rate of change of velocity per unit time. It means if there is an…

An accelerograph records the acceleration of a train. Assume the train was moving in a straight line and the velocity of the train at t = 0 was 0 m/s. Some of the data values for the acceleration of the train are shown below. Answer the questions using this information. 4 2 3 0 1 t (seconds) -2 2 1 -1 3 a(t) (m/s2) 1) The table indicates that a(1)=2 m/s2. What does that tell you about the velocity? I 2) The table indicates that a(3) = -1 m/s2. What does this tell you about the velocity? 3) When is the velocity of the train going to be the greatest? Defend your conclusion by clearly explaining your reasoning or approach to solving this problem. |

An accelerograph records the acceleration of a train. Assume the train was moving in a straight line and the velocity of the train at t = 0 was 0 m/s. Some of the data values for the acceleration of the train are shown below. Answer the questions using this information. 4 2 3 0 1 t (seconds) -2 2 1 -1 3 a(t) (m/s2) 1) The table indicates that a(1)=2 m/s2. What does that tell you about the velocity? I 2) The table indicates that a(3) = -1 m/s2. What does this tell you about the velocity? 3) When is the velocity of the train going to be the greatest? Defend your conclusion by clearly explaining your reasoning or approach to solving this problem. |

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

Similar questions

Jason and Eddie are traveling from Atlanta to Miami which is a distance of 662 miles. It took them two hours and 45 mins to get to Valdosta Georgia. Then, they made it from Valdosta to Miami in 8 hours and 30 minutes. what would be Jason and Eddie's average speed for this entire trip?
Using number 5 what is number 7
Solve this question, only typing
The equation for the motion of an object with constant acceleration is d= do + vt + at, where d is distance from a given point in meters, do is the initial distance from the starting point in meters, v is the starting velocity in meters per second, a is acceleration in meters per second squared, and t is time in seconds. A car is stopped at a traffic light. When the light turns green, the driver begins to drive, accelerating at a constant rate of 4 meters squared. A bus is traveling at a speed of 15 meters per second in another lane. The bus is 7 meters behind the car as it begins to accelerate. per second Find when the bus passes the car, when the car passes the bus, and how far each has traveled each time they pass one another. it lad wod
Starting from rest, a car accelerates at a constant rate of 5.2 m/s2 for a total of 5 seconds. Compute the velocity of the car at 1 s, 2 s, 3 s, 4 s, and 5 s. The values of velocity at 1 s, 2 s, 3 s, 4 s, and 5 s are ____m/s, ___m/s, ___m/s, ___m/s, and ___m/s, respectively.
The velocity of a package traveling along the axis is shown as a function of time in the figure below. If the package is at x = 0 when t = 0, answer the following. Vx (m/s) 20 10 t (s) 10 15 -10 (a) What is the object's acceleration (in m/s2) between 0 and 4.00 s? (Indicate the direction with the sign of your answer.) v m/s2 (b) What is the object's acceleration (in m/s?) between 4.00 s and 9.00 s? (Indicate the direction with the sign of your answer.) 6 From the plot, we see that the velocity is changing at a constant rate during the time interval of interest. The acceleration is the slope of the straight line between the times of interest. m/s (c) What is the object's acceleration (in m/s?) between 12.0 s and 18.0 s? (Indicate the with sign of your answer.) |-3 The acceleration during the time interval of interest may be determined by finding the slope of the velocity-versus-time plot during this time. Looking at the graph, what is the slope of this line? m/s? (d) At what time(s) (in…
The velocity - time graph of the journey of a person is shown in the attached graph. How much distance, in meters, did the person cover during the whole journey, from time = 0 to time = 50 seconds? Round your answer to the nearest integer. Speed (m/s) 25 20 15 10 5 0 0 10 20 Time (s) 30 40 50
The distance travelled of a car is given by the values in the following table.Fill in the blanks to answer this question Time t (seconds) 1 4 Distance s (feet) 16 35 71 112 179 Find the car's average velocity for the following time intervals: Time interval [1,3] feet/ second Time interval [2,3] feet/second
The a-t graph of the bullet train is shown below. If the train starts from rest, determine the elapsed time, t’, before it again comes to rest. What is the total distance traveled during this timeinterval? Determine the acceleration at time t’. Use 4 decimal places.
A runner maintains constant acceleration from rest, reaching 8.4 m/s after running 54 m. How much time did it take to reach that speed? t= S Record your numerical answer below, assuming three significant figures.
Please do it
Motion with constant acceleration An object moves along the x axis such that the position of the object is the following function of time. (Assume t is measured in seconds and x in meters) x = 43.2t + 2+²