A particle moves according to x - A cos-2 t - the distance covered by it in time interval t -0 to t -6 s isA- 2 AB- 3 AC- 4 AD- A

The correct option is B 3Ax=A cos ω t nbsp; nbsp;ω=2 π/T ω=2 π̸/T=π̸/2 T=4 s Start from extreme t=6 s=4+2 ⇒ one oscillation + half oscillation ⇒ 2A+ ...

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Standard XII

Physics

Potential Energy Formulae

A particle mo...

Question

A particle moves according to $x = A c o s (\frac{π}{2} t)$ , the distance covered by it in time interval t = 0 to t = 6 s is

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Solution

The correct option is B 3A
$x = A c o s ω t$ $ω = \frac{2 π}{T}$

$⟹ ω = \frac{2 / π}{T} = \frac{/ π}{2}$

$T = 4 s$

Start from extreme

$t = 6 s = 4 + 2 \Rightarrow$ one oscillation + half oscillation

$\Rightarrow 2 A + A$

$\Rightarrow 3 A$

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A particle moves according to x=A cos(π2t), the distance covered by it in time interval t = 0 to t = 6 s is

The correct option is B 3Ax=A cos ωt ω=2πT ⟹ω=2/πT=/π2 T=4 s Start from extreme t=6 s=4+2⇒ one oscillation + half oscillation ⇒2A+A ⇒3A

A particle moves according to $x = A c o s (\frac{π}{2} t)$ , the distance covered by it in time interval t = 0 to t = 6 s is

The correct option is B 3A
$x = A c o s ω t$ $ω = \frac{2 π}{T}$

$⟹ ω = \frac{2 / π}{T} = \frac{/ π}{2}$

$T = 4 s$

Start from extreme

$t = 6 s = 4 + 2 \Rightarrow$ one oscillation + half oscillation

$\Rightarrow 2 A + A$

$\Rightarrow 3 A$