Question

drive mathematically the first equation of motion v=u+at

Answer 1

Answer:

Initial velocity u at A =OA

Velocity changes from A To B in time t(uniform acceleration a)

Final Velocity v=BC

BC=BD+DC

v=BD+Ao

v=BD+u

Slope of velocity time graph is equal to acceleration a.

BD=at.

Therefore v=u+at.

Hence proved.

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Answer 2

Explanation:

u: velocity at time t1

v: velocity at time t2

If acceleration is represented as a ,then, acceleration is defined as the rate of change in velocity.

a=(v-u)/(t1-t2)

a=(v-u)/delta t

v=u+at