Kinetic Energy is defined as the product of half the mass of an object multiplied by the square of its velocity. Using this I derived the end formula. Work is as follows:(adsbygoogle = window.adsbygoogle || []).push({});

KE = ½(m⋅v^{2})

Because v = v_{i}+at, if v_{i}= 0,

KE = ½(m⋅(at)^{2})

KE = ½(m⋅a^{2}⋅t^{2})

KE = ½(m⋅a⋅a⋅t^{2})

Substituting F for m⋅a (force is equal to mass by acceleration),

KE = ½(F⋅a⋅t^{2})

Displacement is equivalent to v_{i}⋅t +½⋅a⋅t^{2}

It was stated that v_{i}= 0, therefore s = ½⋅a⋅t^{2}

Making this replacement in the equation yields:

KE = F⋅ s

Where F is a force and s is a displacement. This is also the formula for work. Then, is work the same thing as Kinetic Energy? Can the formula for work be used to calculate Kinetic Energy?

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# B Is the derived formula valid?

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