Physics Asked by arandomguy on March 13, 2021
We know that
Velocity of A relative to B is
$$ vec v_{A|B} = vec v_A – vec v_B $$
and Acceleration of A relative to B is
$$ vec a_{A|B} = vec a_A – vec a_B $$
So, is it correct to do this to find the displacement of A relative to B?:-
$$ vec S_{A|B} = (vec u_A – vec u_B) t + 0.5 (vec a_A – vec a_B) t^2 $$
Yes $$vec S_A = vec u_A t + 0.5 vec a_A t^2$$ $$vec S_B = vec u_B t + 0.5 vec a_B t^2$$ so then $$vec S_{A|B}=vec S_A - vec S_B$$ recovers your expression.
Correct answer by Dale on March 13, 2021
don't forget to specify three things:
Stated that, if acceleration is not constant but is a function of $t$ or even $s$ you have to integer them separately, and you lost the incisiveness of the formula you wrote
Answered by Perelman92 on March 13, 2021
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