If a particle moves along a line by x=1+t then its acceleration is proportional to ____ of its velocity at the instant

x=1+t v=121+t=1(1+t)−122 a = −12 12(1+t)−32 aαv3

If a particle moves along a line by x=1+t then its acceleration is proportional to ____ of its velocity at the instant

x=1+t v=121+t=1(1+t)−122 a = −12 12(1+t)−32 aαv3

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If a particle moves along a line by $x = \sqrt{1 + t}$ then its acceleration is proportional to ____ of its velocity at the instant

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$x = \sqrt{1 + t}$

$v = \frac{1}{2 \sqrt{1 + t}} = \frac{1 {(1 + t)}^{\frac{- 1}{2}}}{2}$

a = $- \frac{1}{2} \frac{1}{2} {(1 + t)}^{\frac{- 3}{2}}$

$a α v^{3}$

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If a particle moves along a line by $x = \sqrt{1 + t}$ then its acceleration is proportional to ____ of its velocity at the instant