• # question_answer The position of a body along $x-$axis depends on time as $\sqrt{x}=t+1.$Then the speed of the body A)  Increases with timeB)  Decreases with timeC)  Is independent of timeD)  None of these

$\sqrt{x}=t+1$ Squaring both sides we get $x={{t}^{2}}+1+2t$ $v=\frac{dx}{dt}=2t+2$ As $t$ increases v also increases. So the speed of the body increases with time or the body is accelerating Hence, the correction option is (a).