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 positions are represented by `x_p(t)= at+ bt^2 and x_1(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 SERIES|Exercise Exercise -3|31 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise PROBLEM|47 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise Exercise 2A|30 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise Practice Exercise|84 Videos
  • NEWTONS LAWS OF MOTION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE PRACTICE SHEET (ADVANECED) (Matrix Matching Type Questions)|1 Videos

Similar Questions

Explore conceptually related problems

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

A car starts from rest and travels with uniform acceleration a, for some time and then with uniform retardation beta and comes to rest. If the total time of car is 't', the maximum velocity attained by it is given by

A particle is moving in a straight line so that after t seconds its distance is s (in cms) from a fixed point on the line is given by s= f(t)=8t+t^3. Find the velocity at time t= 2sec (ii) the initial velocity can acceleration at t=2 sec

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.

AAKASH SERIES-MOTION IN A STRAIGHT LINE-Exercise -2
  1. A person in lift which ascents up with acceleration 10 ms^(-2) drops a...

    Text Solution

    |

  2. A body is projected up with velocity u. It reaches a point in its path...

    Text Solution

    |

  3. A stone thrown vertically up with velocity reaches three points A, B a...

    Text Solution

    |

  4. A stone projected vertically up with velocity v from the top of a towe...

    Text Solution

    |

  5. A stone is thrown vertically from the ground. It reaches the maximum h...

    Text Solution

    |

  6. How long does it take a brick to reach the ground if dropped from a he...

    Text Solution

    |

  7. A stone is dropped from top of a tower 300m high and at the same time ...

    Text Solution

    |

  8. An object reaches a maximum vertical height of 23.0 m when thrown vert...

    Text Solution

    |

  9. A stone is thrown vertically upward with a speed of 10.0 "ms"^(-1) fr...

    Text Solution

    |

  10. A helicopter is ascending vertically with a speed of 8.0 "ms"^(-1). At...

    Text Solution

    |

  11. A ball is thrown stright upwards with a speed v from a point h meters ...

    Text Solution

    |

  12. An elevator is going up. The variation in the velocity of the elevator...

    Text Solution

    |

  13. The displacement time graphs of two moving particles make angles of 30...

    Text Solution

    |

  14. For the displacement-time graph shown in figure, the ratio of the magn...

    Text Solution

    |

  15. The displacement-time graph of a moving object is shown in figure. Whi...

    Text Solution

    |

  16. A ball is dropped vertically, from a height h above the ground. It hit...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The displacement of a particle moving along the x-axis is given by equ...

    Text Solution

    |

  20. A Wheel of circumference C is at rest on the ground.When the wheel rol...

    Text Solution

    |