Unformatted text preview: MW 685‘ 4. A particle moves along the xaxis so that at any time t > 0 its velocity is given by v(t) : t In t  I
At time t = l, the position of the particle is x(1) = 6 (a) Write an expression for the acceleration of the particle. (b) For what values of t is the particle moving to the right? (c) What is the minimum velocity of the particle? Show the analysis that leads to your conclusion (6) Write an expression for the position x(t) of the particle.
at.) 0t(t3= ag=—+1M.t"l 7*,604—1‘3 7 t 70
ﬁct 2 hi: 7 "t 7o la) Particle. moves right when Wt) ‘70
Ht): tULwt— I) t >0
intl wwwt Parfi'cle. moves Halal: when “l: >9. c) V'amin: ale): v‘(t)=,.£»ct; u‘(t)=o r,» ta!
U"(t): l I. 3t “Grapkulf W V" has absal. Min. :24: l 431%: gvdtz ltﬁﬁ’ dt" It“: u=£nt divstoic
‘3th Stdt—%+c’ dusédt Lbs1%—
.2 1994 A84 ...
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 Fall '08
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