Are the Forces in These Equations Different?

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Darude
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Are two forces in the equation different forces?
I heard the force in the second equation is like impulsive force. The concept is nebulous to me can someone also elaborate further?

f=ma
f= mxΔv/t
 
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I don't recognize the second equation. Is it really ##F = \frac{\Delta v}{\Delta t}##?
 
Darude said:
Are two forces in the equation different forces?
I heard the force in the second equation is like impulsive force. The concept is nebulous to me can someone also elaborate further?

f=ma
f= mxΔv/t
The second equation is wrong.