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Unformatted text preview: _ 91m: ’oe
we; gem Sent 1 1 .1 1 The acceleration of point A is deﬁned by the relation a = —3.24
sin kt — 4.32 005 kt, where a and t are expressed in st£ and seconds, re
spectively, and]: = 3 rad/s. Knowing that x = 0.48 ft and v = 1.08 ft/s when
t = 0, determine the velocity and position of point A when t = 0.5 s. as g} 11.24 The acceleration of a 7 particle is deﬁned by the relation
:1 = —k02, Where a is expressed in m/s2 and v in m/s. The particle starts at
x = 0 with a velocity of 9 m/s and when x = 13 m the velocity is found to be
7 m/s. Determine the distance the particle will travel (a) before its velocity drops to 3 m/s, ([9) before it comes to rest. g, ereewg‘ﬁ Welt?“ wee? ii: : i
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t g _ § 5 L {3% {31); ggﬁﬁ as {4% as: we; g a} ‘ fete}? 3% we?” ﬁixggéﬂ
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v ‘0 Wu H .30 Based on observations, the speed of a jogger can be approximated
by the relation 1) = 7.5(1  0.041003, where v and x are expressed in km/h and
kilometers, respectively. Knowing that x = 0 at t = 0, determine (a) the distance
the jogger has run when t = 1 h, (b) the jogger’s acceleration in m/s2 at t = 03
(C) the time required\for the jogger to run 6 km. W ' / 1% Li a
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 M Fig. P11 .30 // 1 1.34 The velocity of a particle is v = OOH — 31:10:72]! T)]. Knowing that '
the particle starts from the origin withan initial velocity D0, determine (a) its position and its acceleration at t =
intervalt = 0 tot = T. 3T, ([9) its average velocity during the l ...
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 Fall '08
 MOORTHY
 Velocity, 1%, 4%, spectively

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