Question

What is the acceleration if the body starts from rest and travels a distance of ‘s’ m in 2 seconds?​

Answer 1

Step by step explanation:-

Acceleration =

Final velocity – Initial velocity/time

i.e., a = v-u/t

a = s-0/2

= s/2

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Answer 2

The acceleration of the body is $\frac{s}{2} \frac{m}{ {s}^{2} }$

Given:

The body starts from rest and travels a distance of 's' m. Time taken by the body is 2 seconds.

To find:

The acceleration of the body.

Solution:

We know, that the body has started from rest so the initial velocity is 0.

We have the initial velocity(u), the distance(s), and the time taken(t=2 seconds)by the body. So, we will use the second equation of motion.

$s = ut + \frac{1}{2} a {t}^{2}$

here, the acceleration of the body is assumed to be 'a'.

So,

s=0+1/2×a×2×2

s=2a

a=s/2

So, the acceleration of the body is

$\frac{s}{2} \frac{m}{ {s}^{2} }$

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