A vehicle accelerates from rest, and the time it takes to reach the speed v, is given by the following relation: dv J 5-2 v0.22 where t is time in seconds [s], and v is speed in meters per second [m/s]. (3-a) Determine the time it takes to reach the speed of 50 m/s, numerically. To achieve this, you must use the Mid-ordinate Rule and the Simpson's Rule, each with 10 intervals. Show all steps by hand for full consideration of the work.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using the Mid-ordinate method. You should show all steps.

Activity 3:
A vehicle accelerates from rest, and the time it takes to reach the speed v, is given by the
following relation:
dv
t =
5 - 2 v0.22
where t is time in seconds [s], and v is speed in meters per second [m/s].
(3-a) Determine the time it takes to reach the speed of 50 m/s, numerically. To achieve this, you
must use the Mid-ordinate Rule and the Simpson's Rule, each with 10 intervals. Show all
steps by hand for full consideration of the work.
Transcribed Image Text:Activity 3: A vehicle accelerates from rest, and the time it takes to reach the speed v, is given by the following relation: dv t = 5 - 2 v0.22 where t is time in seconds [s], and v is speed in meters per second [m/s]. (3-a) Determine the time it takes to reach the speed of 50 m/s, numerically. To achieve this, you must use the Mid-ordinate Rule and the Simpson's Rule, each with 10 intervals. Show all steps by hand for full consideration of the work.
Expert Solution
Step 1

Here we have to calculate the time taken by the vehicle to reach the speed of 50m/s

t=0vfdv(5-2v0.22)

That is vf=50

we use Mid-ordinate and Simpson rule to evaluate the given integral.

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