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Question

The position of a particle moving along the x-axis varies with time t as x=4tt2+1. Find the time interval(s) during which the particle is moving along positive x- direction.


A
0<t<2
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B
t>2
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C
t<2
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D
t>0
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Solution

The correct option is A 0<t<2
If the particle position in x-direction increases with time t, then
dxdt>0
dxdt=42t
dxdt>042t>0t<2
Hence, the particle moves in positive x-direction during the time interval 0<t<2.

Physics

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