The position of of a particle is given by `vec r =3.0 t hat I + 2.0 t^(2) hat j+ 5.0 hat k` wher (t) in seconds and the coefficients mave the proper units for `ve r` to ber in metres. Find the velocity and acceleration of the particle in magnitude and direction at time `t=3.0 s`

The position of a particle is given by vec r= 3.0 t hat I - 2 2- 0 t^@ hat j + 4.0 hat k m , wher 9t) in seconds and the coefficits have the proper units for vec r to be in metres. (a) Fing the vec v and ve a of the particle ? (b) What is the magnitude and direction fo velocity of the particle at t= 2 s ?

The position of a particle is given by vecr = 3.01t hati +2. 0 t^2 hatj +5.0 hatk where t is in seconds and the coefficients have the proper units for vecr to be in metres. What is the magnitude and direction of velocity of the particle at t = 1 s? .

The position of a particle is given by vecr = 3t hati + 2t^(2) hatj + 5hatk , where t is in seconds and the coefficients have the proper units for vecr to be in metres. The direction of velocity of the particle at t = 1 s is

The position of a particle is given by vecr =3.0t veci+2.0t^(2) hatj+5.0 hatk Where is in seconds and the coefficients have the proper unit for r to be in maters . (a) Find v(t) and a(t) of the particle . (b) Find the magnitude and direction of v(t) "at" t=1.0s

Position vector of a particle is given as r = 2t hati +3t^(2) hatj where t is in second and the coefficients have the proper units, for r to be in metres. (i) Find instantaneous velocity v(t) of the particle. (ii) Find magnitude and direction of v(t) at t = 2s

The position of a particle is given by r = 3t hati +2t^(2) hatj +8 hatk where, t is in seconds and the coefficients have the proper units for r to be in meters. (i) Find v (t) and a(t) of the particles. (ii) Find the magnitude and direction of v(t) and a(t) at t = 1s .

The position of a particle is given by vec(r) = 3that(i) - 4t^(2)hat(j) + 5hat(k). Then the magnitude of the velocity of the particle at t = 2 s is

If the position vector of a particle is given by vec r =(4 cos 2t) hat j + (6t) hat k m , calculate its acceleration at t=pi//4 second .

The position of a particle is given by vec r = hat i + 2hat j - hat k and its momentum is vec p = 3 hat i + 4 hat j - 2 hat k . The angular momentum is perpendicular to

The position vector of a particle is determined by the expression vec r = 3t^2 hat i+ 4t^2 hat j + 7 hat k . The displacement traversed in first 10 seconds is :