Question

proof that, 2as =v^2 - u^2 that is Newton's third law of motion with explanation.​

Answer 1

Answer:

We are asked to prove Newton's third law of motion that is $v {}^{2} - u {}^{2} = 2as$

Form Newton's first law of motion we know that,

v = u + at

➝ v – u = at ---- equation (1)

Also,

$s = \frac{u + v}{t} \times t$

➝ 2s/t = u + v ---- equation (2)

Now multiply equation 1 and 2, we get

(v – u) (v + u) = at × 2s/t

$\Longrightarrow( {v}^{2} - u {}^{2} ) = 2as$

Hence, proved!

$\fbox {Extra Information}$

There are total three Newton's law of motion:-

$1. \: v = u + at$

$2. \: s = ut + \frac{1}{2} at {}^{2}$

$3. \: {v}^{2} - u {}^{2} = 2as$

What is Newton's third law of motion?

Newton's third law of motion states that for every action in nature there is an equal and opposite reaction.

$v {}^{2} - u {}^{2} = 2as$

Answer 2

Answer:

here is your answer hope it helps you