If the velocity of a body related to displacement x is given by v = 5000 + 24 x   m   s - 1 , then the acceleration of the body is _________ m   s - 2 .

Question

If the velocity of a body related to displacement x is given by v = 5000 + 24 x &#160; m &#160; s - 1 , then the acceleration of the body is _________ m &#160; s - 2 .

Aicharya · Accepted Answer

We know that the rate of change of linear velocity is called linear acceleration, $a = \frac{d v}{d t} = \frac{d v \times d x}{d t \times d x} = \frac{v d v}{d x}$

$\Rightarrow a = \sqrt{5000 + 24 x} \times \frac{1}{2 \sqrt{5000 + 24 x}} \times 24$ $= 12 m s^{- 2}$ .

If the velocity of a body related to displacement x is given by v = 5000 + 24 x   m   s - 1 , then…

Solution

If the velocity of a body related to displacement x is given by v = 5000 + 24 x &#160; m &#160; s - 1 , then…

Solution

If the velocity of a body related to displacement x is given by v = 5000 + 24 x m s - 1 , then…