The position of a particle is given by `r=3t^(2)i+2tj+5k` where r is in m and t is in second. Find `v (t)` and `a (t)` of the particle.

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The acceleration of the particle is

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

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 =(8 t hati +3t^(2) +5 hatk) m where t is measured in second and vec r in meter. Calculate, the magnitude of velocity at t = 5 s,

The position of a particle is given by vec r =(8 t hati +3t^(2) hatj +5 hatk) m where t is measured in second and vec r in meter. Calculate, direction of the velocity at t = 1 s

The speed(v) of a particle moving along a straight line is given by v=(t^(2)+3t-4 where v is in m/s and t in seconds. Find time t at which the particle will momentarily come to rest.

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=(8thati+3t^(2)hatj+5hatk)m where t is measured in second and vecr in meter. Calculate, the velocity and the acceleration of the particle.

The position of a particel is expressed as vecr = ( 4t^(2)hati + 2thatj) m. where t is time in second. Find the acceleration of the particle.

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The particle