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85. (a) With length in centimeters and time in seconds, we have
60 cos
4
.
8
dy
x
ut
dt
π
§·
==
−
π
−
π
¨¸
©¹
Thus, when
x
= 6 and
1
4
t
=
, we obtain
60
60 cos
133
4
2
u
−π
−
π
=− π
=
=−
so that the
speed
there is 1.33 m/s.
(b) The numerical coefficient of the cosine in the expression for
u
is –60
π
. Thus, the
maximum
speed
is 1.88 m/s.
(c) Taking another derivative,
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This note was uploaded on 04/16/2011 for the course PHYSICS 191262 taught by Professor Najafzadeh during the Spring '09 term at The Petroleum Institute.
 Spring '09
 NAJAFZADEH
 mechanics

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