Question

The position of a particle is given by r = (3tî + 21²₁ + 4k)m, t is in sec speed of particle at t = 2 sec is :​

Answer 1

Given,

Position of the Particle r = (3tî + 21²₁ + 4k)m

where,t is in sec

To find,

Speed of particle at t = 2sec

Solution,

As we that Speed= Distance/Time

∴The speed of a particle(v)=dr/dt

                                        =d(3tî + 21²₁ + 4k)/dt

                                        =3î

                         so, speed at t=2sec

                            speed (v) =3îm/sec

So, speed of particle at t = 2sec is 3îm/sec