Unformatted text preview: 1995 — BCl 1. Two particles move in the xy—plﬁe. For time t 2 0. the position of particle A is given by x = t— 2 and y=(t-—17:)2 ,andthepositionofparticleBisgiveeby x=-32-t-—4 and y=%iw2. (3) Find the velocity vector for each pmticle at time ta 3. (b) Set up an integral expression that gives the distance traveled by particle A from t: O to t= 3. Do not
evaluate. (c) Determine the exact time at which the particles collide; that is,
at the same time. Justify your answer. (d) Inthe viewing whadowprovidedbelow, sketch thepaths ofparticiesAandB from t=0until they collide.
Indimte the direction of each particle along its path. when the particles are at the same point (a) A: (ram—2f) B: (3t—4,3' 2) v,.=(1.2(:—2» nag) Particles A and B collide when t = 4. 5
(d) path of A: y z x2
atli of B: = x + 2 ‘
P y ‘7 ‘ (Note: A and B am've at (—1, 1)
at different times). 100: hr‘1 ...
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- Fall '08