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A car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car?

(a) î – 3ĵ

(b) 3î – ĵ

(c) î + 3ĵ

(d) 3î + ĵ

The question was asked in unit test.

My query is from Motion in a Plane with Constant Acceleration topic in chapter Motion in a Plane of Physics – Class 11

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The correct choice is (a) î – 3ĵ

The explanation: The initial position of the car is at the origin and the final position is 25î – 75ĵ. Hence the displacement is 25î – 75ĵ. The total time taken is 25 s. Hence, the velocity = change in position/time = î – 3ĵ.

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