Question

If two bodies A is thrown vertically up and B is a deeply falling body then the relative acceleration of A with respect to B​

Answer 1

Answer:

For the first half, when ball A goes up

V

A

=U

A

−gT

V

B

=−gT

V

AB

=V

A

−V

B

V

AB

=U.......(1)

For the second half, when ball A comes down

V

A

=−gT

V

B

=0

V

AB

=V

A

−V

B

V

AB

=−gT........(2)

Hence from the equation (1) we observe that relative velocity is independent of T. Which will be valid till ball A reaches maximum height point. It is given time taken in reaching h is t.

Hence for the time t, V

AB

will be constant, whereas after time t, relative velocity changes its direction and increases afterwards.