i wanted to take the first derivative of one of newton\'s lawsof motion. V = Vo

Question

i wanted to take the first derivative of one of newton's lawsof motion. V = Vo + 1/2 at^2 V = 1/2 at^2 dv/dt = at dt the reason why think i'm doing this wrong is because the unitsof at are m/s which is velocity. I look at dv/dt and think, "thechange in velocity with respect to time". A change in velocity isacceleration though so i thought it should have units of m/s^2.somethings not clicking. i wanted to take the first derivative of one of newton's lawsof motion. V = Vo + 1/2 at^2 V = 1/2 at^2 dv/dt = at dt the reason why think i'm doing this wrong is because the unitsof at are m/s which is velocity. I look at dv/dt and think, "thechange in velocity with respect to time". A change in velocity isacceleration though so i thought it should have units of m/s^2.somethings not clicking.

Explanation / Answer

    the corret equation is

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