A second ball is dropped from an elevator accelerating up with 1m/s2, 1 second after the first ball is dropped. how does relative velocity of two ball changes with time?

Question

whitemonsterbunny17 · Answer

Sorry, but I have not learned Physics yet.
Maybe @Abhisar can help. (:

cp9454 · Answer

@LolWolf

anonymous · Answer

Increases linearly.

cp9454 · Answer

relative velocity increases linearly?

abhisar · Answer

are u sure @LolWolf ?
Can u xplain it why ?

anonymous · Answer

Wait, no, that's their distance. Clearly I'm not thinking today. Their relative velocity remains constant.

abhisar · Answer

$\huge\checkmark$

abhisar · Answer

U got that @cp9454 ?

cp9454 · Answer

reason why relative velocity is constant.

anonymous · Answer

Reason (for the sake of completeness):
$$
v(t)=at+v_0
$$And:
$$
v'(t)=a(t+1)
$$Then their relative velocity
$$
v_r=v'(t)-v(t)=1a-v_0
$$
Note that $v_0<0$.

abhisar · Answer

Correct !
because at the moment the ball is dropped(separated from the lift) its accelaration becomes 9.8 or g

abhisar · Answer

This accelaration is same for both the balls.

abhisar · Answer

Now u can see by the relation @LolWolf provided that the relative velocity will remain constant !

cp9454 · Answer

ok got it

abhisar · Answer

$\huge\color{green}{ت}$