# 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?

Category: QuestionsA 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?
Editor">Editor Staff asked 1 year ago

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 – 3&jcirc;

(b) 3î – &jcirc;

(c) î + 3&jcirc;

(d) 3î + &jcirc;

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
Select the correct answer from above options
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Editor">Editor Staff answered 1 year ago

The correct choice is (a) î – 3&jcirc;

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

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