Home
Class 12
PHYSICS
A particle moves in east direction with ...

A particle moves in east direction with 15m/sec for 2 sec then moves in northward with 5 m/s for 8 sec. A average speed of the particle is :-

Text Solution

Verified by Experts

The correct Answer is:
B, C

`vec(v)(t)=(3-1xxt)hat(i)+(0-0.5t)hat(j)` …(i)
For maximum positive x coordinate when `v_(x)` becomes zero
`:. 3-t=0 rArrt=3` sec
then `vec(r)(3)=4.5hat(i)-2.25 hat(j)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-03|6 Videos
  • MOTION IN A PALNE

    ALLEN |Exercise Assertion-Reason|20 Videos
  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos
  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A particle moving in a straight line covers half the distance with speed of 3 m//s . The half of the distance is covered in two equal intervals with speed of 4.5 m//s and 7.5 m//s respectively. The average speed of the particle during this motion is :

The magnitude of average velocity is equal to the average speed when a particle moves:-

A particle moves in straight line in same direction for 20 seconds with velocity 3 m//s and the moves with velocity 4 m//s for another 20 sec and finally moves with velocity 5 m//s for next 20 seconds. What is the average velocity of the particle?

A motor cyclist accelerate from rest with acceleration of 2 m//s^(2) for a time of 10 sec . Then he moves with a constant velocity for 20 sec and then finally comes to rest with a deceleration of 1 m//s^(2) . Average speed for complete journey is :-

An insect starts from (2,3,4) and travels along (hat(i)+2hat(j)+2hat(k)) with 15 m//s for 2sec . Then it reverse it direction and travels with 3m//s for 5 sec. If final position of the insert is (x,y,z) . Then find the value of (x+y+z) ?

A particle revolving in a circular path completes first one third of circumference in 2 sec, while next one third in 1 sec. The average angular velocity of particle will be – ("in "rad//sec)

The velocity of a particle moving with constant acceleration at an instant t_(0) is 10m//s After 5 seconds of that instant the velocity of the particle is 20m/s. The velocity at 3 second before t_(0) is:-

A particle moves in a straight line with a uniform acceleration a. Initial velocity of the particle is zero. Find the average velocity of the particle in first 's' distance.

A particle is travelling in a circular path of radius 4m . At a certain instant the particle is moving at 20m/s and its acceleration is at an angle of 37^(@) from the direction to the centre of the circle as seen from the particle (i) At what rate is the speed of the particle increasing? (ii) What is the magnitude of the acceleration?

A particle moves with a tangential acceleration a_(t)=vec(a).hat(v) where vec(a)=(5hat(i)) m//s^(2) . If the speed of the particle is zero at x=0 , then find v (in m//s ) at x=4.9 m .

ALLEN -MOTION IN A PALNE-EXERCISE-02
  1. A balloon starts rising from the ground with an acceleration of 1.25ms...

    Text Solution

    |

  2. A body is thrown vertically upwards. If air resistance is to be taken ...

    Text Solution

    |

  3. A particle moves in east direction with 15m/sec for 2 sec then moves i...

    Text Solution

    |

  4. A 210 meter long train is moving due north at a of 25 m/s. a small bir...

    Text Solution

    |

  5. A force vecF=6t^(2)hati+4thatj is acting on a particle of mass 3 kg th...

    Text Solution

    |

  6. Starting from rest, the acceleration of a particle is a=2(t-1). The ve...

    Text Solution

    |

  7. Three different objects of masses m(1) , m(2) and m(2) are allowed to ...

    Text Solution

    |

  8. A ball is thrown upwards . Its height varies with time as shown in fig...

    Text Solution

    |

  9. A man walks on a straight road form his home to a market 2.5 km away w...

    Text Solution

    |

  10. A particle experiences a constant acceleration for 20 sec after starti...

    Text Solution

    |

  11. If a ball is thrown vertically upwards with speed u, the distance cove...

    Text Solution

    |

  12. A man throws balls with the same speed vertically upwards one after th...

    Text Solution

    |

  13. A stone falls freely such that the distance covered by it in the last ...

    Text Solution

    |

  14. The velocity of a particle is given by v=(5t^(2)-6t+5)m//s where t is ...

    Text Solution

    |

  15. Which of the following equation represents the motion of a body moving...

    Text Solution

    |

  16. The variation of velocity of a particle moving along a straight line i...

    Text Solution

    |

  17. Find the integration of the 1/(2x+1).

    Text Solution

    |

  18. The numerical ratio of displacement to the distance covered is always

    Text Solution

    |

  19. Which of the following velocity-time graphs shows a realistic situatio...

    Text Solution

    |

  20. A particle moves in straight line in same direction for 20 seconds wit...

    Text Solution

    |