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?
Approved Tutor Answer15 Years agoboth 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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