Home
Class 12
PHYSICS
Position vector of a particle moving in ...

Position vector of a particle moving in space is given by :
`vec(r)=3sin t hat i+3 cos t hatj+4 t hatk`
Distance travelled by the particle in `2s` is :

A

5 m

B

10 m

C

20 m

D

50 m

Text Solution

Verified by Experts

The correct Answer is:
B

`vec(v) = 3 cos t hat (i)+3 sin t hat(j)+4hat(k)`
`|vec(v)|=sqrt(3^(2)+4^(2))=5`
Distance `=10 m`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.24|9 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.25|20 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE|Exercise DPP No.22|9 Videos
  • CURRENT ELECTRICITY

    RESONANCE|Exercise High Level Problems (HIP)|21 Videos
  • ELECTRO MAGNETIC WAVES

    RESONANCE|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

The position vector of a particle moving in x-y plane is given by vec(r) = (A sinomegat)hat(i) + (A cosomegat)hat(j) then motion of the particle is :

The position of a particle moving rectilinearly is given by x = t^3 - 3 t^2 - 10 . Find the distance travelled by the particle in the first 4 seconds starting from t = 0 .

(a) A particle starts moving at t = 0 in x-y plane such that its coordinates (in cm) with time (in sec) change as x = 3 t and y = 4 sin (3t) . Draw the path of the particle. (b) If position vector of a particle is given by vec(r) = (4t^(2) - 16t) hati +(3t^(2) - 12t) hatj , then find distance travelled in first 4 sec.

The position vector of a particle moving in x-y plane is given by vec(r)=(t^(2)-4)hat(i)+(t-4)hat(j) . Find (a) Equation of trajectory of the particle (b)Time when it crosses x-axis and y-axis

The position (in meters) of a particle moving on the x-axis is given by: x=2+9t +3t^(2) -t^(3) , where t is time in seconds . The distance travelled by the particle between t= 1s and t= 4s is m.

Position vector of a particle moving in x-y plane at time t is r=a(1- cos omega t)hat(i)+a sin omega t hat(j) . The path of the particle is

The position vector of a particle is given by vecr=(2 sin 2t)hati+(3+ cos 2t)hatj+(8t)hatk . Determine its velocity and acceleration at t=pi//3 .

Position of a particle moving along x-axis is given by x=2+8t-4t^(2) . The distance travelled by the particle from t=0 to t=2 is:-

If the position vector of a particle is given by vec(r ) = (cos 2t) hat(i) + (sin 2 t) hat(j) + 6 t hat(k) m . Calculate magnitude of its acceleration (in m//s^(2) ) at t = (pi)/(4)

RESONANCE-DAILY PRACTICE PROBLEM-DPP No.23
  1. A block B is pushed momentarily along a horizontal surface with an ini...

    Text Solution

    |

  2. A 60 kg body is pushed with just enough force to start it moving acros...

    Text Solution

    |

  3. If the eye is kept very close to a coverging lens (focal length = 10 c...

    Text Solution

    |

  4. If the eye is kept very close to a coverging lens (focal length = 10 c...

    Text Solution

    |

  5. With what angular velocity the earth should spin in order that a body ...

    Text Solution

    |

  6. Position vector of a particle moving in space is given by : vec(r)=3...

    Text Solution

    |

  7. A particle P is projected with speed 20 m//s at angle 37^(@) from hori...

    Text Solution

    |

  8. Mirror in the arrangement shown in figure is moving up with speed 8 cm...

    Text Solution

    |

  9. A force vec(F) is applied to block (m = 6 kg) at rest on an inclined p...

    Text Solution

    |

  10. A block of mass 20 kg is acted upon by a force F=30N at an angle 53^@ ...

    Text Solution

    |

  11. A particle is projected vertically upwards with a speed of 16ms^-1. Af...

    Text Solution

    |

  12. When force vec(F)(1),vec(F)(2),vec(F)(3) are acting on a particle of m...

    Text Solution

    |

  13. A uniform chain of length 2m is kept on a table such that a length of...

    Text Solution

    |

  14. Two carts of masses 200 kg and 300 kg on horizontal rails are pushed a...

    Text Solution

    |

  15. X-ray beam can be deflected

    Text Solution

    |

  16. Two bodies P and Q of equal masses are suspended from two separate mas...

    Text Solution

    |

  17. the photon radiated from hydrogen corresponding to the second line of ...

    Text Solution

    |

  18. One of the lines in the emission spectrum of Li^(2+) has the same wave...

    Text Solution

    |

  19. A small particle of mass m, moves in such a way that the potential ene...

    Text Solution

    |

  20. A block of mass m(1) lies on the top of fixed wedge as shown in fig. a...

    Text Solution

    |