A rectilinear motion of a particle is defined by v3=x3. determine the velocity and acceleration at x=8m

The velocity is 8 m/s and acceleration is 8

Explanation:

The motion of the particle is given by:

                                       =

                                  or, v= x .................................1

substitute x= 8m,

                                    v= 8 m/s

Now differentiate it with respect to time (t),

                          =

                   or,   = v

                   ∴   =  v

now substitute the value of v from equation 1,

                        = x              

now at, x= 8

                         = 8

                     ∴  = 8

As

                         = acceleration

So the acceleration of the particle at x=8m is 8 .

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force