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1990AB1

1990AB1 - “mm g i1 is E 5“ E E lci‘iO—W‘HBI 1 A...

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Unformatted text preview: “mm g i1 is E:- 5“: E'- E. lci‘iO—W‘HBI 1. A particle, initialiy at rest, moves along the x -axis so that its acceieration at an}r time t 2 0 is given by a(t) = 1212 — 4. The position ofthe particle when t 2 l is x0) = 3. (a) Find the values of t for which the particle is at rest. (33) Write an expression for the position x(t) of the particle at any time t 2 0. (c) Find the total distance traveled by the particle from t = 0 to I = 2. at) v(t\= moat = +6—th + c, tzo chﬂ=O=> c.=o «ML vac): Lit3—‘lt = 4t(t2—|)7tzo wt): 0 when 12:0}! . Bud: 1:20 VLt3=O when 13:0 I VGA: -- + ‘2': O l 52 b) x Lt): Enema = t*-— 2t“+—Q. xm=3=> :—a+c,=3 OE c,=‘+ TB]:= [Skits—Molt] + I S [741:3- titldt I =[2t‘- 5*]; + Et“- 2151131 .2 -I + (9—(—o)=/o to H T) . v(t) 1990 A131 ...
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