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?

Answer 1

Answer:

final velocity is root 2ax

Answer 2

Given:

The object's initial velocity = 0 m/s

The object's acceleration = a m/s² (constant)

To Find:

The final velocity of the particle in terms of the distance x

Solution:

Since it is given that the object is moving with a uniform constant acceleration,

⇒ the equations of motions can be applied in the given case

The relation between velocity and distance is given by the 3rd equation of motion as shown:

V² - U² = 2as

Here,

V = Final Velocity

U = Initial Velocity

a = Acceleration

s = Distance

Substituting values,

V²- 0² = 2ax

or V = $\sqrt{2ax}$ m/s

Hence, the final velocity of the particle in terms of the distance x covered by it is given as $\sqrt{2ax}$ m/s.