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Physics · MOTION IN A STRAIGHT LINE
हिन्दीA particle starts from rest at \( t = 0 \) and moves in a straight line with an acceleration given by \( a = (3t + 2)\text{ m/s}^2 \), where \( t \) is in seconds. The velocity of the particle at \( t = 4\text{ s} \) is:
Correct answer · Option 4
\( 32\text{ m/s} \)
Explanation
\( v = \int_0^4 a \, dt = \int_0^4 (3t + 2) \, dt = [ \frac{3t^2}{2} + 2t ]_0^4 = \frac{3(16)}{2} + 2(4) = 24 + 8 = 32\text{ m/s} \).
