A particle is moving in a straight line such that its velocity is increasing at 5   m   s - 1 per meter. The acceleration of the particle is _____ m   s - 2 at a point where its velocity is 20   m   s - 1 .

Question

A particle is moving in a straight line such that its velocity is increasing at 5 &#160; m &#160; s - 1 per meter. The acceleration of the particle is _____ m &#160; s - 2 at a point where its velocity is 20 &#160; m &#160; s - 1 .

Aicharya · Accepted Answer

According to the question, velocity is increasing at $5 m s^{- 1}$ . Therefore, $\frac{d v}{d s} = 5 s^{- 1}$ .
Now acceleration $a = \frac{d v}{d t} = v \frac{d v}{d s}$
$\Rightarrow a = v \frac{d v}{d s} = 20 \times 5 = 100 m s^{- 2}$

A particle is moving in a straight line such that its velocity is increasing at 5   m   s - 1 per…

Solution

A particle is moving in a straight line such that its velocity is increasing at 5 &#160; m &#160; s - 1 per…

Solution

A particle is moving in a straight line such that its velocity is increasing at 5 m s - 1 per…