Question

Derive the equation v=u+at ?​

Answer 1

Explanation:

Consider a body having initial velocity 'u'. Suppose it is subjected to a uniform acceleration 'a' so that after time 't' its final velocity becomes 'v'. Now, from the definition of acceleration we know that:

Acceleration =

Time taken

Change in velocity

or Acceleration =

time taken

Final velocity- Initial velocity

So, a=

t

v−u

at=v−u

and, v=u+at

where v= final velocity of the body

u= initial velocity of the body

a= acceleratio

and t= time taken

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Answer 2

Answer:

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v = u + at

Which is First equation of motion

So , to derive it I am going to use Integration method

In the equation v = u+ at ….

v = final velocity

u = initial velocity

a = acceleration

t = time period of acceleration

Here we should note that acceleration is constant

We know that

a = dv/dt

So

dv = adt

Now integrating both sides

Refer to the attachment for complete answer.

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