Question

A stone is dropped from a balloon rising upwards with a velocity of 16m/s.the stone reaches the ground in 4 sec

Answer 1

Suppose t1 is the time taken to reach to the maximum height and t2 is the time taken to come to ground from maximum height. 

Now,

We know that v=u−gt=0 or t=u/g=16/9.8=1.63 s

Now the body has travelled tor the ground in, 
(4-1.63)=2.37 seconds.

So using the formula, 

Total height h is, 

h=1/2gt^2

=12×9.8×2.37^2=27.52 m.

Again the upward distance travelled by the balloon is, 

h1=ut−1/2gt^2

=16×1.63−1/2×9.8×1.63^2

=13.06 m.

So the height of the balloon is (27.52−13.06)=14.46 m

Answer 2

Answer:

Answer is given above.