An object moving with a speed of \( 6.25 \mathrm{~m} / \mathrm{s} \), is decelerated at a rate g...

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An object moving with a speed of \( 6.25 \mathrm{~m} / \mathrm{s} \), is decelerated at a rate given by:
\[
\frac{d v}{d t}=-2.5 \sqrt{v}
\]
where \( v \) is instantaneous speed. The time taken by the object, to come to rest, would be:
(1) \( 1 \mathrm{~s} \)
(2) \( 2 \mathrm{~s} \)
(3) \( 4 \mathrm{~s} \)
(4) \( 8 \mathrm{~s} \)
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