Home
Class 11
PHYSICS
If the position vector of the particle i...

If the position vector of the particle is given by `vecr = 3 t^2 hati + 5t hatj + 4hatk ` . Find the velocity of the particle at t = 3s.

Text Solution

Verified by Experts

The velocity `vecv = (dvecr)/(dt) = (dx)/(dt) hati + (dy)/(dt) hatj + (dz)/(dt) hatk `
we obtain `vecv (t) = 6t hati + 5 hatj`
The velocity has only two components `v_x = 6t` , depending on time t and ` v_y = 5` which is independent of time .
The velocity at t = 3s is `vecv (3) = 18 hati + 5hatj `
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 20 (SOLVED)

    FULL MARKS|Exercise PART-III|9 Videos

  • SAMPLE PAPER - 20 (SOLVED)

    FULL MARKS|Exercise PART-IV|10 Videos

  • SAMPLE PAPER - 20 (SOLVED)

    FULL MARKS|Exercise PART-IV|10 Videos

  • SAMPLE PAPER - 19 (UNSOLVED)

    FULL MARKS|Exercise PART - IV|10 Videos

  • SAMPLE PAPER - 7 (SOLVED)

    FULL MARKS|Exercise PART - IV|10 Videos

Similar Questions

Explore conceptually related problems

If the position vector of the particle is given by vecr=3hatt^(2)hati+5thatj+4hatk , Find the (a) The velocity of the particle at t=3s (b) Speed of the particle at t= 3s (c) Acceleration of the particle at time t=3s

The position vector for a particle is represented be vecr=3t^(2)hati+5thatj+6hatk , find the velocity and speed of the particle at t=3 sec.

The position vector of the particle is vecr=3t^2 hati+5t hatj+9hatk . What is the acceleration of the particle?

The position vector of a particle is given vecr= 2thati+3t^(2)hatj-5hatk calculate the velocity and speed of the particle at any instant 't'.

The position vector of a particle is vecr=4t^(2)hati+2thatj+3hatk . The speed of the particle t=5s is

The position vector of a particle is vecr=4t^(2)hati+2thatj+3thatk . The acceleration of a particle is having only