Question

Q10 ) Prove all the three equations of motion.​

Answer 1

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Answer 2

Answer:

All three equation of motion are

V=u+at

S = ut+1/2at^

2as=v^-u^

First equation -

A=v-u/t

Then,

V=u+at

Second equation

Average velocity = u-v/2

Distance travelled in= average velocity * time

Average velocity = distance travelled /time

=s/t

U+v/2=s/t, s=u*v*t/2

Hence

S =ut+1/2at^

Third equation -

Our 2nd equation is

S=ut+1/2at^

From the first equation of motion we have

V=u+at

At = v-u

T= v-u/a

Putting value of t in eq 1

S = u(v-u)/a + 1/2a{(v-u)a}^

S=uv-u/a +1/2 (v^+u^-2uv)/2a

S =uv-v^/a + v^+u^-2uv /2a

S= 2uv+ 2u^+v^+u^-2uv/2a

Hence,

2as = v^-u^

Explanation:

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