QJEEM21Ph752e: JEE Main 2021 Physics - Class 11 JEEM21Ph752e Solution: If the velocity of a body related to displacement x is given by …

Question

Verified Solution • 2025–26 Session moderate

If the velocity of a body related to displacement x is given by

υ = \sqrt{5000 + 24 x}

m/s, then the acceleration of the body is .................... m/s².

Accepted Answer

V = \sqrt{5000 + 24 x}

\frac{d V}{d x} = \frac{1}{2 \sqrt{5000 + 24 x}} \times 24 = \frac{12}{\sqrt{5000 + 24 x}}

Now,

a = V \frac{d V}{d x}

= \sqrt{5000 + 24 x} \times \frac{12}{\sqrt{5000 + 24 x}}

a = 12 m/s²

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