Question

derive formula of kinetic energy​

Answer 1

ΔK = W = FΔs = maΔs

v2 = v02 + 2aΔs

aΔs = v2 − v02 /2

ΔK = m ⎛

⎝ v2 − v02 ⎞

⎠

ΔK = 1 mv2 − 1 mv02

ΔK = W

ΔK = ⌠

⌡ F(r) · dr

ΔK = ⌠

⌡ ma · dr

ΔK = m ⌠

⌡ dv · dr

dt

ΔK = 1/2 mv2 − 1 /2 mv02

K = ½mv2

Answer 2

we know w = fs = mas a = v2 -u2/2s
so w = ms (v2 - u2)/2s = mv2/2
WE KNOW W = KE = mv2/2
PLS MARK BRAINLIEAST AND FOLLOW ME