Question

derive f=ma for newton's second law of motion

Answer 1

according to 2nd law the rate of change of momentum is directly propotional to the aplied force and the direction in which force is applied.
F=ma

Answer 2

hiiii friend
here is your answer
According to Newton's second law of motion
"the rate of change of linear momentum with respect to time is called force"
so,
$\infty (\frac{p}{t}) = \infty ( \frac{mv}{t} ) \\ \infty (\frac{p}{t}) = m( \frac{ \infty v}{t} ) \\ \infty (\frac{p}{t}) = m (\frac{ v- u}{t} ) \\ \infty (\frac{p}{t}) = ma \\ so. \\ f = ma$
here the sign of "infinitely" represents "delta"

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