Home
Class 12
PHYSICS
The distance travelled by an object alon...

The distance travelled by an object along the X -axis are given by ` x= 3t^2, y = 2t^2 + 8 t` and `z= 6t - 5. The initial velocity of the particle is

A

20 units

B

10 units

C

5 units

D

13 units

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    MBD PUBLICATION|Exercise QUESTION BANK|338 Videos

  • WAVE OPTICS

    MBD PUBLICATION|Exercise QUESTION BANK|218 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the tangent to x = t^2 and y = 2t at t = 1.

A particle moves in x - y plan according to equation x = 4t^2 + 5t + 16 and y = 5t. The acceleration of particle must be

Car starts from a point P at time t = 0 second and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by x = t^(2) (2 - (t)/(3)) . Find the time taken by it to reach at Q and also find distance between P and Q.

Find the slope of the normal for the curve x= t^2 and y= 2t at t = 1.

A body moving along a straight line has its displacement in m given by s=3+2t+ 4t^2 . Find its velocity after 2s and the acceleration.

Find the equation of tangent to the curve x=sin 3t,y=cos 2t at t =pi/4

MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
  1. A bus is going due north at a speed of 30 km/h. It makes a 90^@ left t...

    Text Solution

    |

  2. A force is inclined at 60^@ to the horizontal. If it's rectangular com...

    Text Solution

    |

  3. The distance travelled by an object along the X -axis are given by x...

    Text Solution

    |

  4. A person move 30m north, then 30m east, then 30 sqrt 2 m south west. H...

    Text Solution

    |

  5. Three vector each of magnitude A are acting a point such that the ang...

    Text Solution

    |

  6. The momentum of a particle is vec P = 2 cos t hati + 2 sin t hat j. Wh...

    Text Solution

    |

  7. Two vectors vec A and vec B are inclined to each other at an angle the...

    Text Solution

    |

  8. If abs(vec v1+vec v2)=abs(vec v1- vec v2) and vec v2 is finite thus

    Text Solution

    |

  9. Three vectors vec A, vec B and vec C satisfy the relation vec A. vec B...

    Text Solution

    |

  10. A force (7 hat i + 6 hat k ) newton makes a body move on a rough pla...

    Text Solution

    |

  11. A boat is sent across a river with a velocity 8 km/h. If the resultant...

    Text Solution

    |

  12. If abs(vecA+vecB)=abs(vecA-vecB) find the angle between vecA and vecB...

    Text Solution

    |

  13. If vec(a) and vec(b) are unit vectors inclined at an angle theta, then...

    Text Solution

    |

  14. Given vecA=(2hati-hatj+3hatk) and vecB=3hati-3hatj-2hatk find the unit...

    Text Solution

    |

  15. Determine the magnitude of the vector having initial point P(x1,y1,z1)...

    Text Solution

    |

  16. Prove that the vectors A=3i+j-2k ,B=-i+3j+4k and C=4i-2j-6k can form a...

    Text Solution

    |

  17. An air plane is flying with velocity 50km/h in north east direction . ...

    Text Solution

    |

  18. Consider two vectors vecF=(4hati-10hatj) Newton and vecr=(-5hati-4hatj...

    Text Solution

    |

  19. Rain is falling vertically with a speed of 35ms^(-1) Wind starts blowi...

    Text Solution

    |

  20. The position of a particle is given byvecr=3.0t (hati)+2.0t^2(hatj)+5....

    Text Solution

    |