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 dx -8.276 v2 – 2000 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|||||| II||\|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 30 5400 v dv E dx = x 15 8.276 v2+2000 Evaluate the preceding equation using Simpson rule).
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 dx -8.276 v2 – 2000 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|||||| II||\|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 30 5400 v dv E dx = x 15 8.276 v2+2000 Evaluate the preceding equation using Simpson rule).
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:1. An automobile of mass M=5400 kg is moving at a speed of 30 m/ş The engine is disengaged suddenly at t= 0
sec. Assume that the equation of motion after t=0 is given by
dv
5400 v
dx
-8.276 v? – 2000
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, \\\\\||\
||\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
-30
5400 v dv
=E dx = x
8.276 v2+2000
Evaluate the preceding equation using Simpson rule).
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