derive the equation
K.E. =1/2mv^2
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here is ur answer
plz refer the attachment ☝️☝️
hope it helps!!
@itzSugaryHeaven3
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work is done to increase its velocity from u and v , W=Fs....(1)
according to equation of motion , we have v²- u²= 2as
s =v²- u²/2a
where a is uniform acceleration, u is initial velocity and v is final velocity
F = ma
substituting the values of F and s in eq1 ,we have
W = ma× v²- u²/2a
W= 1/2 m( v²-u²)
this is called work energy theorem; total work is equal to the change in kinetic energy
if initial velocity ,u= 0
W= 1/2mv²
work done is equal to the kinetic energy of the object
KE= 1/2mv²
hence proved
thank you for giving your precious time
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