Suppose that two objects A and B are moving with velocities v-A and v-B each with respect to some common frame of reference- Let v-AB represent the velocity of A with respect to B- Then

The correct option is A v⃗_AB + v⃗_BA = 0Velocity of object A relative to that of B is v⃗_AB = v⃗_A v⃗_B Velocity of object B relative to that ...

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Byju's Answer

Standard XII

Physics

Relative Velocity

Suppose that ...

Question

Suppose that two objects A and B are moving with velocities ${\to v}_{A}$ and ${\to v}_{B}$ (each with respect to some common frame of reference). Let ${\to v}_{A B}$ represent the velocity of A with respect to B. Then

{\to v}_{A B}

{\to v}_{B A}

= 0

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{\to v}_{A B}

{\to v}_{A B}

= 0

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{\to v}_{A B}

{\to v}_{A}

{\to v}_{B}

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{\to v}_{A B}

\neq

{\to v}_{A B}

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Solution

The correct option is A ${\to v}_{A B}$ + ${\to v}_{B A}$ = 0
Velocity of object A relative to that of B is
${\to v}_{A B} = {\to v}_{A} - {\to v}_{B}$
Velocity of object B relative to that of A is ${\to v}_{B A} = {\to v}_{B} - {\to v}_{A}$
$∴ {\to v}_{A B} = - {\to v}_{B A} a n d | {\to v}_{A B} | = | {\to v}_{B A} |$

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Suppose that two objects A and B are moving with velocities →vA and →vB (each with respect to some common frame of reference). Let →vAB represent the velocity of A with respect to B. Then

The correct option is A →vAB + →vBA = 0Velocity of object A relative to that of B is→vAB=→vA−→vBVelocity of object B relative to that of A is →vBA=→vB−→vA∴→vAB=−→vBA and |→vAB|=|→vBA|

Suppose that two objects A and B are moving with velocities ${\to v}_{A}$ and ${\to v}_{B}$ (each with respect to some common frame of reference). Let ${\to v}_{A B}$ represent the velocity of A with respect to B. Then