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Physics · MOTION IN A STRAIGHT LINE
हिन्दीAn object moves with a constant velocity \( u \) for a time interval \( T \). Immediately after, it accelerates uniformly at a rate \( a \) for an equal time interval \( T \). What is the total displacement covered by the object in the total time \( 2T \)?
Correct answer · Option 4
\( 2 u T + \frac{1}{2} a T^2 \)
Explanation
Displacement in first interval \( x_1 = u T \). Initial velocity for second interval is \( u \), so displacement \( x_2 = u T + \frac{1}{2} a T^2 \). Total displacement \( x = x_1 + x_2 = 2 u T + \frac{1}{2} a T^2 \).
