Question

derive the equation
K.E. = 1/2mv^2​

Answer 1

Answer:

here is ur answer

refer the attachment plz ☝️☝️

hope it helps!!

@itzSugaryHeaven3

Answer 2

Answer:

Work done = f × s

$\implies \large \mathrm{ w \: = m \times a \times s \: }$

since f = m×a. {Newton's second law}

Also we have ,

$\longrightarrow \: \: \: \: \: \: \large \mathrm { {v}^{2} = {u}^{2} + 2as}$

u = 0

$\implies \: \mathrm{ {v}^{2} = 2as} \\ \\ \implies \mathrm { as = \frac{1}{2} {v}^{2} }$

Substituting in the above EQ,

$\large \bull \: w \: = \dfrac{1}{2} m{v}^{2}$

Now ,

work done = KE

THEREFORE ,

$\large \leadsto \boxed{ \mathbf{✧ \: \: K.E. = \dfrac{1}{2} {mv}^{2} \: ✧}}$

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hope it helps...