Home
Class 12
PHYSICS
The position of a particle is given by r...

The position of a particle is given by `r=3.0thati+2.0t^(2)hatj+5.0 hatk`. Where t is in seconds and the coefficients hav the proper units for r to be in matres. (a) find v(t) and a(t) of the particle (b). Find the magnijtude of direction of v(t) or t=1.0 s

Text Solution

AI Generated Solution

To solve the problem step by step, we will break it down into parts (a) and (b) as specified in the question. ### Given: The position of the particle is given by: \[ \mathbf{r}(t) = 3.0 t \hat{i} + 2.0 t^2 \hat{j} + 5.0 \hat{k} \] where \( t \) is in seconds. ...
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-A (Vectors & Scalars)|25 Videos

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-A (Addition & Subtractions of Vectors)|10 Videos

  • MAGNETISM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|22 Videos

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|7 Videos

Similar Questions

Explore conceptually related problems

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 metres. (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 .

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 vec r= 3.0 t hat i - 2.0 t^2 hat j + 4.0 hat k m , where (t) in seconds and the coefficients have the proper units for vec r to be in metres. (a) Find the vec v and vec a of the particle ? (b) What is the magnitude and direction of velocity of the particle at t= 2 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 meters. The direction of velocity of the particle at t = 1 s is

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 have the proper units . 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 x=2(t-t^(2)) where t is expressed in seconds and x is in metre. 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 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 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 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.