Question

derive the relation between force and acceleration

Answer 1

According to the Newton's first law of motion the force is directly related to the change in momentum of a body, so

F = dp/dt

now momentum is given a. p = mv

where m is the mass and v is the velocity

so,

F = d(mv)/dt = m(dv/dt)

or we get

F = ma

this derivation involves differentiation which taught in class 11, so it's okay if you don't follow the steps entirely...