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An object moves with $5 {ms}^{- 1}$ towards right while the mirror moves with $1 {ms}^{- 1}$ towards the left as shown fig. Find the velocity of image

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5 {ms}^{- 1}

direction is towards left

5 {ms}^{- 1}

direction is towards right

7 {ms}^{- 1}

direction is towards left

7 {ms}^{- 1}

direction is towards right

answer is A.

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Detailed Solution

V_{0} = - V_{0_{x}} \hat{i} = 5 \hat{i}

[Left taken = negative]

$V_{m} = V_{m_{x}} = - 1 \hat{i}$ $[Right taken = positive]$

$V_{IG} = - V_{0_{x}} \hat{i} - 2 V_{m_{x}}$

$= - 5 \hat{i} + 2 (- 1 \hat{i})$

$= - 7 \hat{i} (- \hat{i} indicates left)$

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