This preview shows page 1. Sign up to view the full content.
HW1 hint
Three necessary steps to solve problems:
Step 1
. Substitute
( )
af
s
=
,
( )
v
=
, or
( )
t
=
;
Step 2.
Separate variables;
Step 3.
Integrate.
2.7.
a). Substituting
( )
ak
v
f
v
=−
=
into
dv
a
dt
=
and separating
variables, you will get
dv
dt
kv
(1)
After equation (1) is integrated, you can solve v in terms of t.
b). Substituting
()
v
f
v
=
into
dv
av
ds
=
and separating
variables, you will get
kds
vdv
−=
(2)
After equation (2) is integrated, you can solve v in terms of s.
2.9.
Consider how to calculate the slop of a tangential line.
2.29.
The idea is similar to problem 2.7. However, this problem is simpler, since
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 09/27/2008 for the course ME 212 taught by Professor Staff during the Spring '05 term at Cal Poly.
 Spring '05
 staff

Click to edit the document details