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  • A particle moves according to law . The distance covered by it i

A particle moves according to law \mathrm{x=a \cos \pi t}. The distance covered by it in \mathrm{2.5 \, \, \mathrm{sec}} is -

Option: 1

2a


Option: 2

3a


Option: 3

4a


Option: 4

5a


Answers (1)

best_answer

\mathrm{x=a \cos \pi t} represents periodic motion with a period.

      \mathrm{ T=\frac{2 \pi}{\omega}=\frac{2 \pi}{\pi}=2 \mathrm{sec} \quad[\because \omega=\pi] }
Thus in 0.2 second, it covers a distance a.

In \mathrm{2.5\, \, \mathrm{sec}}, it covers a distance 5 a Ans.

Posted by

Rishabh

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