A particle moves according to the law x=a cosπt2. The distance covered by it in the time interval between t = 0 sec to t = 3 sec is _____a.

x=Acosωt=acosπ2tω=2πT=π2⇒ST=4secThen T= 3secx = 3a

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A particle moves according to the law x=a cos $\frac{πt}{2}$ . The distance covered by it in the time interval between t = 0 sec to t = 3 sec is _____a.

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answer is 3.

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$x = Acosωt = acos \frac{π}{2} t$
$ω = \frac{2 π}{T} = \frac{π}{2} \Rightarrow ST = 4 \sec$
Then T= 3secx = 3a
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