Vehicle Model: Analytical Solution tw - If we neglect Ftract FFrict, we will have: dv m = -bv² dt Then you can solve the integration: -bf dt (do it by yourself) dv FTract N Forag Ffrict m 1. To analyze the traveling distance (assume initial position is xo): dx dt = v(t) = fv (vo, t) (do integration by yourself) x(t) = fx (x,t) 2. When will the car stop: v(t) = f (vo,t) = 0
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.
![Vehicle Model: Analytical Solution
+
W
FDrag
F
Tract N
frict
If we neglect Ftract
FFrict, we will have:
dv
m.
= -bv²
dt
Then you can solve the integration:
==
-bf dt (do it by yourself)
1. To analyze the traveling distance (assume initial position is xo):
dx
dt
=
v(t) = fv (vo,t)
(do integration by yourself)
x(t) = fx (x,t)
2. When will the car stop: v(t) = f₁ (vo,t) = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd936c6c0-8e3b-4a92-9646-2c460fec57ae%2F7a917eb6-c271-4109-9f53-2cea1825d6ec%2Ftcu1ly_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 5 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)