Question

derive the formula :v=u+at,where the symbols have usual meanings

Answer 1

Here is your answer in this pic

Answer 2

Terminology : a = acceleration, v = final velocity , u = intial velocity, t = time.

From the definition of Acceleration ,

a = v - u / t.

Now, Transposing t to Left hand side.

at = v - u

Transpose -u to Left hand side.

at + u = v.

Interchanging the sides of the equation,

v = u + at.

Hope helped!