Question

Derive the mathematical relation of Newton’s second law of motion.​

Answer 1

Explanation:

• Derive the mathematical relation of Newton's second law of motion.

• Consider an object of mass m moving along a straight line with an initial velocity u (say). It is uniformly accelerated to velocity u in time t by the application of a constant force F in time t.

• Newton's second law of motion is F = ma, or force is equal to mass times acceleration. Learn how to use the formula to calculate acceleration. Created by Sal Khan.

Answer 2

Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass, F = ma, is the basic equation of motion in classical mechanics.

If the force acting on a body is known as a function of time, the velocity and position of the body as functions of time can, theoretically, be derived from Newton’s equation by a process known as integration. For example, a falling body accelerates at a constant rate, g. Acceleration is the rate of change of velocity with respect to time, so that by integration the velocity v in terms of time t is given by v = gt. Velocity is the time rate of change of position S, and, consequently, integration of the velocity equation yields S = 1/2gt2.