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Assertion :Ve...

Question

Assertion :Velocity and acceleration of a particle are given as, $\to v =^i -^j$ and $\to a = - 2^i + 2^j$ . This is a two dimensional motion with constant acceleration. Reason: Velocity and acceleration are two constant vectors.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.

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Assertion is correct but Reason is incorrect.

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Assertion is incorrect but Reason is correct.

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Since acceleration is independent of time, thus it is a motion with constant acceleration. Statement 2 explains this correctly and is true because both velocity and acceleration vectors are independent of time, and hence constant.

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Assertion :Velocity and acceleration of a particle are given as, →v=^i−^j and →a=−2^i+2^j. This is a two dimensional motion with constant acceleration. Reason: Velocity and acceleration are two constant vectors.

Assertion :Velocity and acceleration of a particle are given as, $\to v =^i -^j$ and $\to a = - 2^i + 2^j$ . This is a two dimensional motion with constant acceleration. Reason: Velocity and acceleration are two constant vectors.