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

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 70P: Unreasonable results A dolphin in an aquatic show jumps straight up out of the water at a velocity...
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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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