Home
Class 11
PHYSICS
In a car race, car A takes a time t less...

In a car race, car A takes a time t less than car B at the finish and passes the finishing point with speed v more than that of the car B. Assuming that both the cars start from rest and travel with constant acceleration `a_1 and a_2` respectively. Show that `v=sqrt (a_1 a_2) t.`

A

`a_(1) gta_(2)`

B

`a_(1) lta_(2)`

C

`v=sqrt(q_(1)a_(2)t_(0))`

D

`v=(a_(1)+a_(2))t_(0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-3|34 Videos

  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-1|86 Videos

  • FORCE ANALYSIS

    ANURAG MISHRA|Exercise Matching type|13 Videos

Similar Questions

Explore conceptually related problems

In a car race, A takes a time of t s, less than car B at the finish and passes the finishin point with a velocity v more than car B . Assuming that the cars stat from rest and travel with constant accelerations a_(1) and a_(2) . Respectively, show that vsqrt(a_(1) a_(2)t) .

In a car race, car A takes 4 s less than can B at the finish and passes the finishing point with a velcity v more than the car B . Assumung that the cars start form restand travel with constant accleration a_(1)=4 m s^(-2) and a_(2) =1 m s^(-2) respectively, find the velocity of v in m s^(-1) .

In a car race, car A takes t_0 time less to finish than car B and passes the finishing point with a velocity v_0 more than car B . The cars start from rest and travel with constant accelerations a_1 and a_2 . Then the ratio (v_0)/(t_0) is equal to.

In a car race, car P takes time t_(0) less than car Q and passes the finishing point with a speed v_(0) more than the speed with which xar Q passses the finishing point. Assume that both cars start from rest and trasvel with constant acceeleration alpha and beta . Find v_(0) .

In a car race car A takes t_(0) time less to finish than car B and pases the finishing point with a velocity v_(0) more than car B . The cars start from rest and travel with constant accelerations a_(1) and a_(2) . Then the ratio (v_(0))/(t_(0)) is equal to

In a car race, car A takes time t less than car B and passes the finishing point with a velocity of 12m//s more than the velocity with which car B passes the finishing point. Assume that the cars A and B start from rest and travel with constant acceleration of 9 m//s^(2) and 4 m//s^(2) , respectively. If v_(A) and v_(B) be the velocities of cars A and B, respectively, then

Starting from rest a particle is first accelerated for time t_1 with constant acceleration a_1 and then stops in time t_2 with constant retardation a_2. Let v_1 be the average velocity in this case and s_1 the total displacement. In the second case it is accelerating for the same time t_1 with constant acceleration 2a_1 and come to rest with constant retardation a_2 in time t_3. If v_2 is the average velocity in this case and s_2 the total displacement, then

ANURAG MISHRA-DESCRIPTION OF MOTION-Level-2
  1. A particle P is sliding down a frictionless hemispherical bowl. It pas...

    Text Solution

    |

  2. Two partides. are thrown from the same point in the same vertical plan...

    Text Solution

    |

  3. A particle of mass m moves on the x- axis as follows : it starts fro...

    Text Solution

    |

  4. The magnitude of acceleration of a particle as seen by observer A is a...

    Text Solution

    |

  5. An aeroplane moving horizontally from west to east with some velocity ...

    Text Solution

    |

  6. Two balls are thrown from an inclined plane at angle of projection alp...

    Text Solution

    |

  7. A particle moves in the xy-plane according to the law x = a sin(omegat...

    Text Solution

    |

  8. Mark correct statements.

    Text Solution

    |

  9. An aeroplane at a constant speed releases a bomb.As the bomb drops awa...

    Text Solution

    |

  10. Two straight lines l(1) and l(2) cross each other ar point P The line ...

    Text Solution

    |

  11. The velocity-time graph of a particle moving along a straight line is ...

    Text Solution

    |

  12. A ball is dropped from a certain height on a horizontal floor. The coe...

    Text Solution

    |

  13. The speed -time graph of the ball in the above situation is.

    Text Solution

    |

  14. In a car race, car A takes a time t less than car B at the finish and ...

    Text Solution

    |

  15. Two particles are projected with speed 4m//s and 3m//s simultaneously ...

    Text Solution

    |

  16. The motion of a body falling from rest in a resisting medium is descri...

    Text Solution

    |

  17. Which of the following statement is//are correct ?

    Text Solution

    |

  18. A car is moving with uniform acceleration along a straight line betwee...

    Text Solution

    |

  19. A particle moves along x-axis with constant acceleration and its x-pos...

    Text Solution

    |

  20. The velocity versus time of two particles moving along x-axis varies a...

    Text Solution

    |