An object moves with constant acceleration

PHYSICS · Single correct · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

An object moves with constant acceleration a\mathbf{a}. Which of the following expressions is also constant? (1) d∣v∣dt\frac{d|\mathbf{v}|}{dt} (2) ∣dvdt∣\left|\frac{d\mathbf{v}}{dt}\right| (3) d(v2)dt\frac{d(v^2)}{dt} (4) d(v∣v∣)dt\frac{d\left(\frac{\mathbf{v}}{|\mathbf{v}|}\right)}{dt}

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