The position of a particle moving along the x-axis varies with time t as x=4tāt2+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 A0<t<2 If the particle position in x-direction increases with time t, then dxdt>0 dxdt=4−2t dxdt>0⇒4−2t>0⇒t<2 Hence, the particle moves in positive x-direction during the time interval 0<t<2.