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Physics · MOTION IN A STRAIGHT LINE
हिन्दीThe velocity of a particle moving along the x-axis is given by \( v = (3.0 t^2 - 6.0 t + 2.0)\text{ m s}^{-1} \). At what instant of time \( t > 0 \) is the instantaneous acceleration of the particle zero?
Correct answer · Option 1
\( 1.0\text{ s} \)
Explanation
Instantaneous acceleration \( a = \frac{dv}{dt} = \frac{d}{dt}(3t^2 - 6t + 2) = 6t - 6 \). Setting \( a = 0 \) gives \( 6t - 6 = 0 \implies t = 1.0\text{ s} \).
