Position vector of a particle is expressed as function of time by equation `vec(r)=2t^(2)+(3t-1) hat(j) +5hat(k)`. Where r is in meters and t is in seconds.

Position vector vec(r) of a particle varies with time t accordin to the law vec(r)=(1/2 t^(2))hat(i)-(4/3t^(3))hat(j)+(2t)hat(k) , where r is in meters and t is in seconds. Find suitable expression for its velocity and acceleration as function of time

The position vector of a particle vec R as a functions of time is given by vec R= 4 sin (2pi t) hat i + 4 cos (2 pi t) hat j where, R is in metres, t is in seconds and hat i and hat j denote unit vectors along x and y-directions, respectively Which one of the following statements is wrong for the motion of particle?

Position vector vec(r) of a particle varies with time t accordin to the law vec(r)=(1/2 t^(2))hat(i)-(4/3t^(1.5))hat(j)+(2t)hat(k) , where r is in meters and t is in seconds. (a) Find suitable expression for its velocity and acceleration as function of time (b) Find magnitude of its displacement and distance traveled in the time interval t=0 to 4 s .

Position vector vec(r) of a particle varies with time t accordin to the law vec(r)=(1/2 t^(2))hat(i)-(4/3t^(1.5))hat(j)+(2t)hat(k) , where r is in meters and t is in seconds. Find suitable expression for its velocity and acceleration as function of time.

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 :

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 :

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 :