**derive first equation of motion**

Q1-A body starts initially with a velocity ‘u’ and is accelerated at constant rate ‘a’. Find an expression for final velocity after time ‘.

Or Establish the relation : v = u + at.

** 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=**Change in velocity /Tíme taken**

=**(Final velocity – Initial velocity)/ Time taken**

**a =(v-u)/t**

or

**at = v – u**

or

**v = u + at**

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