An object starts from rest and moves with uniform acceleration a. The final velocity of the particle in terms of the distance x covered by it is given as

Question

An object starts from rest and moves with uniform acceleration a. The final velocity of the particle in terms of the distance x covered by it is given as (A) √2 a x (B) 2 a x (C) √(a x/2) (D) √a x

Tardigrade Admin · Accepted Answer

Given, v0=0 Using relation, v2=v02+2 a x v2=2 a x ∴ v=√2 a x

Q. An object starts from rest and moves with uniform acceleration $a$ . The final velocity of the particle in terms of the distance $x$ covered by it is given as

$2 a x$

$2 a x$

$\frac{a x}{2}$

$a x$

Given, $v_{0} = 0$
Using relation, $v^{2} = v_{0}^{2} + 2 a x$
$v^{2} = 2 a x$
$∴ v = 2 a x$

Q. An object starts from rest and moves with uniform acceleration a. The final velocity of the particle in terms of the distance x covered by it is given as

2ax​

2ax

2ax​​

ax​

Given, v0​=0 Using relation, v2=v02​+2ax v2=2ax ∴v=2ax​

Q. An object starts from rest and moves with uniform acceleration $a$ . The final velocity of the particle in terms of the distance $x$ covered by it is given as

$2 a x$

$2 a x$

$\frac{a x}{2}$

$a x$

Given, $v_{0} = 0$
Using relation, $v^{2} = v_{0}^{2} + 2 a x$
$v^{2} = 2 a x$
$∴ v = 2 a x$