Home
Class 11
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 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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos

  • Mechanical Properties of Solids

    SL ARORA|Exercise Example|113 Videos

  • Motion in a Plane

    SL ARORA|Exercise Excercise|397 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 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?

The position of a particle moving on a straight line depends on time t as x=(t+3)sin (2t)

A p article 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.

Position - time graph for a particle is shown in figure. Starting from t = 0, at what time t, the average velocity is zer?

The diagram shows a velocity-time graph for a car moving in a straight line. At point Q the car must be

The drawing shows velocity (v) versus time (t) graphs for two cyclists moving along the same straight segment of a highway from the same point. The second cyclist starts moving at t = 3 min . At what time do the two cysclist meet ?

Two cars A and B travel in a straight line.The distance of A, from the starting point is given as a function of time by x_(A)(t)=at+bt^(2) with a=4m/s and b=2m/s^(2) .The distance of B from the starting point is given as x_(B)(t)=ct^(2)+dt^(3) with c=2m/s^(2) and d=1m/s^(3) . Which car moves ahead just after they leave the starting point?

A particle is thrown vertically upwards from the surface of the earth. Let T_(P) be the time taken by the particle to travel from a point P above the earth to its highest point and back to the point P. Similarly, let T_(Q) be the time taken by the particle to travel from another point Q above the earth to its highest point and back to the same in terms of T_(P), T_(Q) and H, is :-

SL ARORA-MECHANICS-Exercise
  1. A particle starts its motion from rest under the action of a constant ...

    Text Solution

    |

  2. Find the ratio of the distance moved by a free-falling body from rest ...

    Text Solution

    |

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

    Text Solution

    |

  4. A stone falls freely under gravity. It covered distances h1, h2 and h3...

    Text Solution

    |

  5. A ball is throw vertically upward. It has a speed of 10 m//s when it h...

    Text Solution

    |

  6. A body dropped from top of a tower falls through 40 m during the last...

    Text Solution

    |

  7. A body dropped from a height h with an initial speed zero, strikes the...

    Text Solution

    |

  8. Water drops fall at regular intervals from a tap 5 m above the ground....

    Text Solution

    |

  9. A rubber ball is dropped from a height of 5m on a plane, where the acc...

    Text Solution

    |

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

    Text Solution

    |

  11. A ball is droped from a high rise platform t = 0 starting from rest. A...

    Text Solution

    |

  12. Which of the following curves does not represent motion in one dimensi...

    Text Solution

    |

  13. The displacement time graph of a moving particle is shown below T...

    Text Solution

    |

  14. A train of 150 m length is going toward north direction at a speed of ...

    Text Solution

    |

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

    Text Solution

    |

  16. Preeti reached the metro station and found that the escalator was not ...

    Text Solution

    |

  17. A particle of mass 10 g moves along a circle of radius 64 cm with a co...

    Text Solution

    |

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

    Text Solution

    |

  19. Two cars P and Q start from a point at the same time in a straight lin...

    Text Solution

    |

  20. A toy car with charge q moves on a frictionless horizontal plane surfa...

    Text Solution

    |