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Qmechanic
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Can I apply Newton's equations of motion to relative motion?

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Dale
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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  ?:-

$$ \vec S_{A|B} = (\vec u_A - \vec u_B) t + 0.5 (\vec a_A - \vec a_B) t^2 $$

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  :-

$$ \vec S_{A|B} = (\vec u_A - \vec u_B) t + 0.5 (\vec a_A - \vec a_B) t^2 $$

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?:-

$$ \vec S_{A|B} = (\vec u_A - \vec u_B) t + 0.5 (\vec a_A - \vec a_B) t^2 $$

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Qmechanic
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anonymous
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