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GATE EE 2014 Set 3 — Question 12

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NAT+1 / -0MediumDefinite & Improper IntegralsCalculusEngineering Mathematics

Engineering Mathematics → Calculus → Definite & Improper Integrals

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Question

A particle, starting from origin at t=0t = 0 s, is traveling along x-axis with velocityv=π2cos⁡(π2t) m/sv = \frac{\pi}{2} \cos \left( \frac{\pi}{2} t \right) \text{ m/s}At t=3t = 3 s, the difference between the distance covered by the particle and the magnitude of displacement from the origin is _________.
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