Question

Derive the first equation of motion ( v = u+at ): Equation for velocity- time relation from velocity - time graph for a body under uniform acceleration.

please give me answer fast, tomorrow is my test. ​

Answer 1

The first equation of motion is : v = u + at. It gives the velocity acquired by a body in time, t.

Considered a body having initial velocity 'u'. Suppose it is subjected to a uniform acceleration 'a' so that after time its final velocity becomes 'v'. Now from the definition of acceleration we know that :

acceleration = Change in velocity / time taken

so, a = v - u / t

at = v - u

v = u + at

v = final velocity of body

u = initial velocity of body

a = acceleration

t = time taken