Question
Two balls $$A$$ and $$B$$ of same mass are thrown from the top of the building. A thrown upward with velocity $$v$$ and $$B,$$ thrown down with velocity $$v,$$ then
A.
velocity $$A$$ is more than $$B$$ at the ground
B.
velocity of $$B$$ is more than $$A$$ at the ground
C.
both $$A\,\& \,B$$ strike the ground with same velocity
D.
None of these
Answer :
both $$A\,\& \,B$$ strike the ground with same velocity
Solution :
If $$h$$ is the height of the building, then
$$\eqalign{
& v_A^2 = {v^2} + 2gh\,\,{\text{and}}\,\,v_B^2 = {\left( { - v} \right)^2} + 2gh \cr
& {\text{Clearly}}\,{v_A} = {v_B}. \cr} $$