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JEE MATHEMATICS MCQ: RATE MEASURE

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Application +4 | -1

If a particle is moving with velocity

v\left( t \right) = \cos \,\,\pi t

along a straight line such that at

t = 0,\;\,s = 4

its position function is given by

View answer and explanation

Correct option: C

\frac{1}{\pi }\,\,\sin \,\,\pi t\,\, + \,\,4

Option C (

\frac{1}{\pi }\,\sin \,\pi t\, + \,4

) is correct because it represents the position function obtained by integrating the velocity function and applying the initial condition.

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