AskiitianExpert Shine
Last Activity: 15 Years ago
Hi
Ans1: Fix the datum at The initial position off the balloon and assume its velocity to be zero at that time. Therefore the first stone dropped wud move for 3.5 seconds (2 second interval + 1.5 second fall for second stone) downward with acceleration g. Therefore its displacement from the datum is
s1 = 1/2 x g x (3.5)2 .
Now, considering the second stone:
It has been dropped wen balloon is at a ht of 2a from its initial position. a= acceleration of balloon. ht = (1/2 xa x 22) = 2a .
velocity of balloon at this ht = v = ut + 1/2 a t2 . t=2 sec, u=0 . therefore v= 2a in upward direction. therefore initial velocity of second stone dropped is 2a in upward direction. hence calculate the distance travelled by second stone in 1.5 sec by
s2= 2a(1.5) + 1/2x gx (1.5)2 .
NOW ANALYSE, whether it is above the datum or below it, then add or substract to get the distance between the two stones.