Question

what is formula of motion​

Answer 1

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✒ What is formula of motion ?

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✅ Their is three equations of motion :-

• v = u + at

• v² = u² + 2as

• s = ut + ½at²

First equation of Motion:-

• V = u + at

Consider a body of mass “m” having initial velocity “u”.Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”.

Now we know that:

Acceleration = change in velocity/Time taken

=> Acceleration = Final velocity-Initial velocity / time taken

=> a = v-u /t

=>at = v-u

☞ v = u + at

Second equation of motion:-

• s = ut + 1/2 at²

Let the distance travelled by the body be “s”.

We know that

Distance = Average velocity X Time

Also, Average velocity = (u+v)/2

.: Distance (t) = (u+v)/2 X t ____eq.(1)

Again we know that:

v = u + at

substituting this value of “v” in eq.(2), we get

s = (u+u+at)/2 x t

=>s = (2u+at)/2 X t

=>s = (2ut+at²)/2

=>s = 2ut/2 + at²/2

☞ s = ut +1/2 at²

Third equation of Motion :-

v²= u² +2as

sol.

We know that

V = u + at

=> v-u = at

or t = (v-u)/a_______eq.(3)

Also we know that

Distance = average velocity X Time

.: s = [(v+u)/2] X [(v-u)/a]

=> s = (v²– u²)/2a

=>2as = v² – u²

☞ v² = u² + 2as

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