-->

Matter In Our Surroundings

Question
CBSEENSC9005728

A body starts initially with a velocity ‘u’ and is accelerated at constant rate ‘a’. Find an expression for final velocity after time ‘t’.

                                Or

Establish the relation: v = u + at.

Solution

First equation of motion:
Let a body start with initial velocity 'u' and after time t, its velocity becomes v due to uniform acceleration a.
From the definition of acceleration,
Acceleration space equals space fraction numerator Change space in space velocity over denominator Time space taken end fraction space

space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator Final space velocity space minus space Initial space velocity over denominator Time space taken end fraction
rightwards double arrow space space space space space space space space space space space space space space space straight alpha space equals space fraction numerator straight v minus straight u over denominator straight t end fraction space space
rightwards double arrow space space space space space space space space space space space space space space at space equals space straight v minus straight u

rightwards double arrow space space space space space space space space space space space space space space space box enclose straight v space equals straight u space plus space at end enclose