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Q.
The displacement of a body along $x - $ axis depends on time as $\sqrt{x}=3t +5$ Then the velocity of body
Motion in a Straight Line
Solution:
$\sqrt{x}=3 t+5$
Squaring both side
$\begin{aligned}
(\sqrt{x})^{2} &=(3 t+5)^{2} \\
x &=9 t^{2}+25+30 t
\end{aligned}$
Differentiate both side
$\frac{d x}{d t}=\frac{d\left(9 t^{2}+30 t+25\right)}{d t} $
$V=18 t+30$
Velocity will increase with time.