Home
Class 12
PHYSICS
A particle moving in a straight line has...

A particle moving in a straight line has its velocit varying with time according to relation `v = t^(2) - 6t +8 (m//s)` where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

A

Velocity changes its direction two times within first 3 sec

B

Displacement in first 2 second is equal to distance travelled

C

The farthest distance of particle from origin on negative x axis is at `t = 3` sec

D

Acceleration is increasing in the interval`t = 3` sec to `t 5` sec.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle is moving on a straight line with velocity (v) as a function of time (t) according to relation v = (5t^(2) - 3t + 2)m//s . Now give the answer of following questions : Acceleration of particle at the end of 3^(rd) second of motion is :

A particle is moving on a straight line with velocity (v) as a function of time (t) according to relation v = (5t^(2) - 3t + 2)m//s . Now give the answer of following questions : Velocity of particle at t = 3 sec. is :

A particle is moving on a straight line with velocity (v) as a function of time (t) according to relation v = (5t^(2) - 3t + 2)m//s . Now give the answer of following questions : Velocity of particle when acceleration is zero is :

A particle starts moving rectilinearly at time t=0 such that its velocity v changes with time t according to the equation v=t^(2)-t , where t is in seconds and v in s^(-1) . Find the time interval for which the particle retards.

A particle starts from rest, moving in a straight line with a time varying acceleration ( "in"m//s^(2) ): a= 30 -(15)/(2) sqrt(t) , where time is in seconds . The displacement of the particle in 4 seconds is .

A particle moves along a straight line its velocity dipends on time as v=4t-t^(2) . Then for first 5 s :

Velocity of a particle moving in a curvilinear path varies with time as v=(2t hat(i)+t^(2) hat(k))m//s . Here t is in second. At t=1 s

A particle is moving in a striaght line and at a given time, its displacement is S = t^(3) - 6t^(2) + 9t , where t is in seconds and S is in meter . The total distance travelled by the particle during the first five seconds is

A particle is moving in a circle of radius 1 m with speed varying with time as v=(2t)m//s . In first 2 s

A particle is moving on a straight line. Its velocity at time t is (8-2t)m//s . What is the total distance covered from t=0 to t=6s ?

ALLEN-RACE-Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)
  1. A particle moving in a straight line has its velocit varying with time...

    Text Solution

    |

  2. The freqency of a radar is 780 M hz. The frequency of the reflected wa...

    Text Solution

    |

  3. A locomotive approaching a crossing at a speed of 20 ms^(-1) sounds a ...

    Text Solution

    |

  4. An aluminum rod having a length 100 cm is clamped at its middle point ...

    Text Solution

    |

  5. A tuning fork and an air column whose temperature is 51^(@)C produc...

    Text Solution

    |

  6. A uniform string resonates with a tuning fork , at a maximum tension o...

    Text Solution

    |

  7. If in a stationary wave the amplitude corresponding to antinode is 4 c...

    Text Solution

    |

  8. What is the phase difference between the displacement wave and pressur...

    Text Solution

    |

  9. A wire of length 'l' having tension T and radius 'r' vibrates with fun...

    Text Solution

    |

  10. Equation of a standing wave is expressed as y = 2A sinomegat coskx. In...

    Text Solution

    |

  11. Two vibrating strings of same material stretched under same tension an...

    Text Solution

    |

  12. The wave-function for a certain standing wave on a string fixed at bot...

    Text Solution

    |

  13. In a standing wave on a string.

    Text Solution

    |

  14. A string vibrates in 5 segments to a frequency of 480 Hz. The frequen...

    Text Solution

    |

  15. A 2.0m long string with a linear mass density of 5.2xx10^(-3) kg m^(-1...

    Text Solution

    |

  16. A wave is given by the equation y = 10 sin 2 pi (100 t - 0.02 x) + ...

    Text Solution

    |

  17. In case of closed organ pipe, which harmonin the p^(th) overtone will ...

    Text Solution

    |

  18. An organ pipe open at one end and closer at other has a length L. the ...

    Text Solution

    |

  19. The first resonance length of a resonance tube is 40 cm and the second...

    Text Solution

    |

  20. A man sitting in a moving train hears the whistle of the engine. The f...

    Text Solution

    |

  21. A whistle of frequency 500 Hz tied to the end of a string of length 1....

    Text Solution

    |