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_Q(t) =ft-t^2`. At what time do the cars have the same velocity?

A

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

B

`a-f/1+b`

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise EVALUATION TEST|17 Videos

  • OPTICS

    TARGET PUBLICATION|Exercise EXERCISE|447 Videos

Similar Questions

Explore conceptually related problems

Two particles are projected from the same point with the same speed, at different angles theta_1 and theta_2 to the horizontal. Their times of flight are t_1 and t_2 respectively and they have the same horizontal range. Then the incorrect relation is

Plot of log (a- x) v//s time 't'is straight line. This indicates that the reaction is of

Two particles P and Q start from origin and execute simple harmonic motion along X-axis with same amplitude but with periods 3s and 6s respectively. The ratio of the velocities of P and Q when they meet is

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=5 , then the equation of the line PQ is

If a car, starting from point P, goes to point Q (see figure) and then returns to point P, how much distance has it travelled and what is its displacement?

The equation of one of the lines represented by the equation pq(x^2-y^2)+(p^2-q^2)xy=0 , is

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?

A particle is executing SHM along a straight line. Its velocities at distances x_(1) and x_(2) from the mean position are v_(1) and v_(2) , respectively. Its time period is

If car, starting from point P, goes to point Q and then return to point P. How much distance has it travelled and what is its displacement ?

TARGET PUBLICATION-Motion in a plane-Exercise
  1. An object moving with a speed of 6.25 m/s, is decelerated at a rate gi...

    Text Solution

    |

  2. A particle is moving with constant acceleration and v1, v2 and v3 are ...

    Text Solution

    |

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

    Text Solution

    |

  4. An object moving with a speed of 6.25 m/s, is decelerated at a rate gi...

    Text Solution

    |

  5. A particle first accelerates from rest and then retards to rest during...

    Text Solution

    |

  6. A car accelerate from rest with 2 m/s^2 on a straight line path and t...

    Text Solution

    |

  7. The velocity of an object moving in straight line path is given as a f...

    Text Solution

    |

  8. Consider a car initially at rest, starts to move along a straight road...

    Text Solution

    |

  9. The velocity-time graph for two bodies A and Bare shown. Then the acce...

    Text Solution

    |

  10. A particle shows distance-time curve as shown in the figure. The maxim...

    Text Solution

    |

  11. The nature of graph drawn for a freely falling body with time on the x...

    Text Solution

    |

  12. A body is thrown vertically upwards. Which one of the following graphs...

    Text Solution

    |

  13. All the graphs below are intended to represent the same motion. One of...

    Text Solution

    |

  14. The speed versus time graph of a moving particle is shown in the follo...

    Text Solution

    |

  15. A toy car with charge moves on a frictionless horizontal plane surface...

    Text Solution

    |

  16. Two trains, which are moving along different tracks in opposite direct...

    Text Solution

    |

  17. A stone falls freely under gravity. It covers distances h1, h2and h3 i...

    Text Solution

    |

  18. A, B, C are points in a vertical line such that AB=BC. If a body falls...

    Text Solution

    |

  19. A parachutist drops freely from an aeroplane for 10 s before the parac...

    Text Solution

    |

  20. Two bodies of different masses ma, and mb are dropped from two differe...

    Text Solution

    |