A ball is thrown vertically upwards with an initial velocity such that it can reach a maximum height of 15m. If at the same instance, a stone is dropped from a height of 15m. , find the ratio of distances traveled by them when they cross each other. Please explain clearly.

(i) Time of Motion of A = Time of Motion of B = 1/2 Time of Desent of B

 

(ii) Let x be the distnace travelled by the ball

 

(iii) Let y be the distance travelled by the stone

 

(iv) time of Flight = sqrt (2h/g)  where h = x+y

 

(v) Time of desend of stone = qrt (2y/g)

 

(v) from equation III & IV , obtaine relation between x & y

 

(vi) find the ratio of x & y

 

value is 3:1