Home Physics Vectors Multiplication of Vectors Motion of a particle is defined by the posit…
Physics Vectors Multiplication of Vectors MCQ (Single Correct)

Motion of a particle is defined by the position vector , where t is time in sec. Value of ' ' for which position vector and acceleration are perpendicular to each other is -

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The correct answer is:
CHECK THE SOLUTION.

(1)

Given,

We need the value of for which position vector and acceleration are perpendicular.
Find velocity

Hence,

Find acceleration

Thus,

Use condition

Using ,

For perpendicular vectors,

Since time is positive,

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