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2.Motion in Straight Line
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If the displacement of a particle varies with time as $\sqrt{x}=t+7$, then
AVelocity of the particle is inversely proportional to $t$
BVelocity of the particle is proportional to $t^2$
CVelocity of the particle is proportional to $\sqrt{t}$
DThe particle moves with constant acceleration
Solution
(d)
$\sqrt{x}=t+7$
$\Rightarrow x=(t+7)^2$
$=t^2+49+14 t \text { (squaring) }$
$\frac{d x}{d t}=2 t+14$
$v=2 t+14 \Rightarrow v \propto t$
Acceleration :
$a=\frac{d v}{d t}$
$a=2 \,ms ^{-2} \rightarrow \text { constant }$
$\sqrt{x}=t+7$
$\Rightarrow x=(t+7)^2$
$=t^2+49+14 t \text { (squaring) }$
$\frac{d x}{d t}=2 t+14$
$v=2 t+14 \Rightarrow v \propto t$
Acceleration :
$a=\frac{d v}{d t}$
$a=2 \,ms ^{-2} \rightarrow \text { constant }$
Standard 11
Physics
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