Question

State Newton's second law of motion and derive in mathematical

Answer 1

The Newton's Second law state that The rate of change of momentum is directly proportional to the applied force and change in momentum takes place in the direction of applied force.

Answer 2

According to Newton's Second Law of Motion: The force applied to a body is directly proportional to the rate of change of momentum and acts in the direction of motion.

This means,

$f \alpha \frac{change \: of \: momentum}{time \: taken} \\ f \alpha \frac{mv - mu}{t} \\ f \alpha \frac{m(v - u)}{t} \\ f \alpha \: m \times a$

hence, f=m×a

Hope it would help!

#Aj