Home
Class 12
PHYSICS
Two cars P and Q start from a point at t...

Two cars P and Q start from a point at the same time in a straight line and their positions are represented by
`X_(P)(t) = at + bt^(2)` and `X_(Q)(t) = ft - t^(2)`. At what time do the cars have the same velocity ?

A

`(a-f)/(1+b)`

B

`(a+f)/(2(b-1))`

C

`(a+f)/(2(1+b))`

D

`(f-a)/(2(1+b))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)|15 Videos

  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B)|33 Videos

  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise Assignement section -J (Aakash Challengers Questions)|7 Videos

  • MOTION IN STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J)|2 Videos

Similar Questions

Explore conceptually related problems

Two cars P and Q start from a point at the same time in a straight line and their position are represented by x_p(t) = at + bt^2 and x_Q (t) = ft - t^2 . At what time do the cars have the same velocity ?

A particle moves in a straight line and its position x at time t is given by x^(2)=2+t . Its acceleration is given by :-

Two particles P and Q are moving as shown in the figure. At this moment of time the angular speed of P w.r.t. Q is

A particle moves in a straight line such that its position in 't' time is s(t)=(t^(2)+3)/(t-1) cm. find its velocity at t=4 sec.

Two cars, A and B move along the x-axis. Car A starts from rest with constant accelertion while car B moves with consstant velocity. a. At what time s , t s , if any, do A and B have the same position? . b. At what time s if any, do A and B have the same velocity? What is the velocity of car B at this time. c. Graph velocity versus time for both A and B . d. At what time s . If any, does car A pass car A ? e. At what time s , if any does car B pass car A ?

A point mives in a straight line so its displacement x mertre at time t second is given by x^(2)=1+t^(2) . Its aceleration in ms^(-2) at time t second is .

A particle starts from point A moves along a straight line path with an acceleration given by a = p - qx where p, q are connected and x is distance from point A . The particle stops at point B. The maximum velocity of the particle is

A car starts from a point P at time t = 0 seconds 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 Q and also find distance between P and Q.

Two cars start in a race with velocities u_(1) and u_(2) and travel in a straight line with acceleration 'a' and b .If both reach the finish line at the same time,the range of the race is

For a particle moving along a straight line, the displacement x depends on time t as x = alpha t^(3) +beta t^(2) +gamma t +delta . The ratio of its initial acceleration to its initial velocity depends

AAKASH INSTITUTE ENGLISH-MOTION IN A STRAIGHT LINE-ASSIGNMENT (SECTION - C)
  1. Two cars P and Q start from a point at the same time in a straight lin...

    Text Solution

    |

  2. If the velocity of a particle is v = At+Bt^(2), where A and B are cons...

    Text Solution

    |

  3. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |

  4. A stone falls freely under gravity. It covers distances h(1), h(2) and...

    Text Solution

    |

  5. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  6. A boy standing at the top of a tower of 20 m height drops a stone. Ass...

    Text Solution

    |

  7. A particle covers half of its total distance with speed v(1) and the r...

    Text Solution

    |

  8. A ball is dropped from a high rise platform at t=0 starting from rest....

    Text Solution

    |

  9. A paricle moves a distance x in time t according to equation x=(t+5)^(...

    Text Solution

    |

  10. A bus is moving with a speed of 10 m s^(-1) on a straight road. A scoo...

    Text Solution

    |

  11. A particle shows distance-time curve as given in this figure. The maxi...

    Text Solution

    |

  12. A particle moves in a straight line with a constant acceleration. Its ...

    Text Solution

    |

  13. The distance travelled by a particle starting from rest and moving wit...

    Text Solution

    |

  14. A particle moving along x-axis has acceleration f, at time t, given f=...

    Text Solution

    |

  15. A car moves from X to Y with a uniform speed vu and returns to X with ...

    Text Solution

    |

  16. The position x of a particle w.r.t. time t along x-axis is given by a ...

    Text Solution

    |

  17. A particle moves along a straight line. At a time t (in seconds) the d...

    Text Solution

    |

  18. Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heig...

    Text Solution

    |

  19. The displacement x of a particle varies with time t as x = ae^(-alpha ...

    Text Solution

    |

  20. A ball is thrown vertically up ward. It has a speed of 10m/sec when it...

    Text Solution

    |