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Two points A and B start simultaneously along the line joining them in the same direction with acceleration of 1m/s2 and 2m/s2 and speed 3m/s and 1m/s respectively. Initially A is 10m behind B. What is the minimum distance between them?
both particle move relative to each other but after some time velocity of both particle will become equal for a instant..
.after this instant they will never come closer to each other....
Uab =2m/s ( relative velocity of A wrt B)
Aab=-1m/s^2 (relative accleration of A wrt B)
V= u+at
Vab =0 ( finally)
t=2sec
this is the time when separation between them is minimum.......
distance travelled by first particle during this time is S1=2*3 +2=8m
distance travelled by second particle during this time is S2=2*1+4=6m
total relative displacement is 10 + 6-8 =8m
therefore minimum distance bw them will be 8m
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