Q1: Train industry company has been tested their train, the velocity of one of these trains was given by the equation: v = 0.1 (3t^2 + 8t) m/s. Calculate the position of this train (in km) as well as its acceleration after 5 minutes of the test, if you know that the initial time and the initial position are zero.
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.
![Q1: Train industry company has been tested their train, the velocity of one of these trains was given by
the equation: v = 0.1 (3t^2 + 8t) m/s. Calculate the position of this train (in km) as well as its
acceleration after 5 minutes of the test, if you know that the initial time and the initial position are
zero.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a0c5a25-a159-4dde-8eb3-59e678c48084%2Faf49dcf3-22a1-4789-a380-341094893de0%2F12ddiru_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)