An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is disengaged suddenly at t= 0 sec. Assume that the equation of motion after t-0 is given by dv 5400 v = -8.276 v-2000 dx Where v= v(t) is the speed (m/sec) of the car at t. The left side represents Mv (dv/dx). The first term on the right side is the aerodynamics drag, I||||||||||T|||||||||||\|and the second term is the rolling resistance of the tires. Calculate how far the car travels until the speed reduces to 15 m/sec.(hint: the equation of motion may be integrated as 5400 v dv = Jdx=x 15 8.276 v+2000

An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is disengaged suddenly at t= 0 sec. Assume that the equation of motion after t-0 is given by dv 5400 v = -8.276 v-2000 dx Where v= v(t) is the speed (m/sec) of the car at t. The left side represents Mv (dv/dx). The first term on the right side is the aerodynamics drag, I||||||||||T|||||||||||\|and the second term is the rolling resistance of the tires. Calculate how far the car travels until the speed reduces to 15 m/sec.(hint: the equation of motion may be integrated as 5400 v dv = Jdx=x 15 8.276 v+2000

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

1. An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is
disengaged suddenly at t= 0 sec. Assume that the equation of motion after t-0 is given
by
5400 v-
dv
= -8.276 v-2000
dx
Where v= v(t) is the speed (m/sec) of the car at t. The left side represents Mv
(dv/dx).The first term on the right side is the aerodynamics drag,
\\\\\\\\\|\||\\\||||||
|| lland the second term is the rolling resistance of the tires.
Calculate how far the car travels until the speed reduces to 15 m/sec.(hint: the equation
of motion may be integrated as
5400 v dv
30
= Jdx=x
8.276 v+2000
Evaluate the preceding equation using Simpson rule).

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