Question

A particle is moving eastward with a velocity of 5 m/s in 10s the velocity changed by 5m/s northwards. The change in velocity is ​

Answer 1

Given,

The velocity of a particle = 5m/s eastward and 5m/s northwards

time = 10 s

To Find,

Change in velocity

Solution,

The change in velocity will be given by

Change in velocity = √(u²+v²)

                                = √5²+5²

                                = 5√2 m/s

Hence, the change in velocity is equal to 5√2 m/s

Answer 2

The change in velocity is 5√2m/s.

Given:

The velocity of the particle moving eastward is 5m/s and the velocity changes by 5m/s northward.

Time = 10s

To Find:

Change in velocity.

Solution:

Here, we have,

Initial velocity, $\vec{v} _i=5m/s$ (east-wards)

Final velocity, $\vec{v}_f=5m/s$ (north-wards)

now,

The change in velocity$= \triangle \vec{v}=\vec{v}_f-\vec{v}_i=\vec{v}_f+(-\vec{v}_i)$

now, put the value in the above equation

here we get,

$|\triangle\vec{v} |=\sqrt{(5)^{2} }+(5)^{2}\\ =5\sqrt{2}m/s$

Thus, the change in velocity is 5√2m/s.