Home
Class 12
PHYSICS
The velocity vecv of a particle moving i...

The velocity `vecv` of a particle moving in the xy plane is given by `vecv=(6.0t-4.0t^(2))hati+8.0hatj`, with `vecv` in meters per second and `t(gt0)` in seconds. (a) What is the acceleration when t = 2.5 s? (b) When (if ever) is the acceleration zero ? (c) When (if ever) is the velocity zero? (d) When (if ever) does the speed equal 10 m/s?

Text Solution

Verified by Experts

(a) `(-14m//s^(2))hati,` (b) 0.75 s, ( c) it is never zero, (d) 2.2 s
Promotional Banner

Topper's Solved these Questions

  • MOTION IN TWO AND THREE DIMENSIONS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (SINGLE CORRECT CHOICE TYPE)|49 Videos
  • MOTION IN TWO AND THREE DIMENSIONS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MORE THAN ONE CORRECT CHOICE TYPE)|3 Videos
  • MOTION IN TWO AND THREE DIMENSIONS

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|3 Videos
  • MOTION ALONG A STRAIGHT LINE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS ( Integer Type )|3 Videos
  • OSCILLATIONS

    RESNICK AND HALLIDAY|Exercise Practice Questions|57 Videos

Similar Questions

Explore conceptually related problems

The velocity ofacar travelling on a straight road is given by the equation v=6+8t-t^(2) where vis in meters per second and t in seconds. The instantaneous acceleration when t=4.5 s is :

A partical is moving in a straight line such that s=t^(3)-3t^(2)+2 , where s is the displacement in meters and t is in seconds. Find the (a) velocity at t=2s , (b) acceleration at t=3s , ( c) velocity when acceleration is zero and (d) acceleration when velocity is zero.

The displacement of a particle moving in a straight line is given by s=t^(3)-6t^(2)+3t+4 meters.The velocity when acceleration is zero is "

The displacement of a particle moving along an x axis is given by x=18t+5.0t^(2) , where x is in meters and t is in seconds. Calculate (a) the instantaneous velocity at t=2.0s and (b) the average velocity between t=2.0s and t=3.0s .

A vector is given by vecV=(8.0hati+2.0hatj)m//s . What will be the unit vector perpendicular to vecV ?

The velocity of an object is given by vecv = ( 6 t^(3) hati + t^(2) hatj) m//s) . Find the acceleration at t = 2s.

If s=(1)/(2)t^(3)-6t , then the find the acceleration at time when the velocity tends to zero.

If S=t^(3)-3t^(2)+5 , then acceleration, when velocity becomes zero is

The position of a particle moving on the x-axis is given by x=t^(3)+4t^(2)-2t+5 where x is in meter and t is in seconds (i) the velocity of the particle at t=4 s is 78 m//s (ii) the acceleration of the particle at t=4 s is 32 m//s^(2) (iii) the average velocity during the interval t=0 to t=4 s is 30 m//s (iv) the average acceleration during the interval t=0 to t=4 s is 20 m//s^(2)

RESNICK AND HALLIDAY-MOTION IN TWO AND THREE DIMENSIONS-PROBLEMS
  1. An object moves in such a way that its position (in meters) as a funct...

    Text Solution

    |

  2. From the origin, a particle starts at t = 0 s with a velocity vecv=7.0...

    Text Solution

    |

  3. The velocity vecv of a particle moving in the xy plane is given by vec...

    Text Solution

    |

  4. A motorbike starts from the origin and moves over an xy plane with acc...

    Text Solution

    |

  5. The acceleration of a particle moving only on a horizontal xy plane is...

    Text Solution

    |

  6. In Fig. 4-28, particle A moves along the line y = 30 m with a constant...

    Text Solution

    |

  7. A small ball rolls horizontally off the edge of a tabletop that is 1.5...

    Text Solution

    |

  8. A shell, which is initially located at a distance of 40.4 m above a ho...

    Text Solution

    |

  9. A stone is catapulted at time t = 0, with an initial velocity of magni...

    Text Solution

    |

  10. A certain airplane has a speed of 290.0 km/h and is diving at an angle...

    Text Solution

    |

  11. In Fig. 4-30 a stone is projected at a cliff of height h with an initi...

    Text Solution

    |

  12. A projectile's launch speed is 6.00 times that of its speed at its max...

    Text Solution

    |

  13. A soccer ball is kicked from the ground with an initial speed of 21.3 ...

    Text Solution

    |

  14. You throw a ball toward a wall at speed 25.0 m/s and at angle theta(0)...

    Text Solution

    |

  15. A defense air force plane, diving with constant speed at an angle of 5...

    Text Solution

    |

  16. A rifle that shoots bullets at 460 m/s is to be aimed at a traget 45.7...

    Text Solution

    |

  17. A golf ball is struck at ground level. The speed of the golf ball as a...

    Text Solution

    |

  18. In a ball is thrown leftward from the left edge of the roof, at height...

    Text Solution

    |

  19. Upon spotting an insect on a twig overhanging water, an archer fish sq...

    Text Solution

    |

  20. A golfer hits a golf ball into the air over level ground. The velocity...

    Text Solution

    |