Question

Derive the first equation of motion by an analytical method

Answer 1

Explanation:

The first equation of motion is ,

v = u + at

v = u + at

v = u + at where v is the final velocity

v = u + at where v is the final velocity u is the initial velocity

v = u + at where v is the final velocity u is the initial velocity a is the acceleration

v = u + at where v is the final velocity u is the initial velocity a is the acceleration and t is the time taken

DERIVATION :

a

We know that ,

acceleration = change in velocity

time

= final velocity - initial velocity

time

a = v - u

t

therefore , v = u - at

Answer 2

Explanation:

a=v-u/t

a×t=v-u

at+u=v

or

v=u+at