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1991BC1 - idl‘il— BC 1 A particle moves on the x~axis...

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Unformatted text preview: idl‘il— BC.) 1. A particle moves on the x~axis so that its velocity at any time t 2 O is given by v(t) 2 12:2 — 361 + 15. At t fl 1, the particle is at the origin. (a) Find the position x0) of the particle at any time t 2 0. (1)) Find all values of z for which the particie is at rest. (c) Find the maximum veiocity of the particle for 0 s I s 2. (d) Find the totai distance traveled by the particle from t = 0 to t = 2. a.) x(t)= firott = Litswl‘zt‘i-igt +0. x(n)=o = 448+15+¢ => C.="i X('i:)= 4t3—Iet‘+15t«-i b3 Par-Hole is at rest when vtt)=o we): 3 (4151-— igt +5): 3(Qtwl) (at -5) V(‘t)=0 when ”i:=.“i) g”: a) v’tt) = 3(8t-12)$ ir’tt)=o when 2-2.:7 ofitifl. v‘tt): — + t 0 g: :1 V(%) iSMO—bsoi.mfiia, $ V(o) w v(;;_) is M 0.me MK. v(o)=155 v(a\=3(n,- 344.5): -q 0 ole 13M dist. z i 54% Mitzi-3&1: +is)alt) + [filati-BLtHSMtI ’4. 1991 BC] ...
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