Question

A body is moving along a straight line with velocity V linearly varying with displacement 's' given by V = 2s - 1m/sec. The acceleration of the body when S = 2m is​

Answer 1

Answer:

The acceleration comes out to 6m/s^2

Answer 2

Answer:

acceleration of the body when s=2m is $4m/sec^{2}$

Explanation:

$v=2s-1$

velocity at s=2m

$v_{s=2} =4-1$

       $=3m/sec$

by equation $a=\frac{dv}{dt}$,

$a_{s=2} =\frac{d(2s-1a)}{dt}$

$a_{s=2} =2\frac{ds}{dt}+0$                                               ∴$v=\frac{ds}{dt}$

$a_{s=2} =2v_{s=2}$

$a_{s=2} =4m/sec^{2}$

so, acceleration of the body when s=2m is $4m/sec^{2}$