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

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)...
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Please solve 1 and 2
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
Transcribed Image Text: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
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