Home
Class 10
MATHS
The distance S an object travles under t...

The distance S an object travles under the influence of gravity in time t seconds is given by `S(t)=(1)/(2)"gt"^(2)+at+b` where, (g is the acceleration due to gravity), a, b, are constants. Check if the function S(t) is one-one.

Text Solution

Verified by Experts

The correct Answer is:
`2g+2a+b`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise EXECRISE 1.5|19 Videos

  • RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise EXECRISE 1.6|15 Videos

  • RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise EXECRISE 1.3|22 Videos

  • ONE MARK QUESTIONS SET

    SURA PUBLICATION|Exercise Multiple Choice Question|250 Videos

  • STATISTICS AND PROBABILITY

    SURA PUBLICATION|Exercise Unit Test (Section -C)|1 Videos

Similar Questions

Explore conceptually related problems

Suppose the acceleration due to gravity at a place is 10 m/s^2 . Find its value in cm//(min)^2

The distance in meters described by a car in time t seconds is given by s = 4t^(3) - 3t^(2) + 6t -1 . Determine the velocity and acceleration when (i) t = 0, (ii) t =2 seconds.

The distance S (in kms ) travelled by a particle in time t hours is given by S (t) =( t^(2)+3t)/( 2) The distance travelled in 3 hrs .

The distance s meters moved by a particle travelling in a straight line t seconds is given by s = 45t + 11t^(2) - t^(3) . Find the acceleration when the particle comes to rest.

The equation of motion is given by s(t)=2t^3-6t^2+6 At what time, the velocity and accelerations are zero?

The equation of motion is given by s(t) = 2t^(3) - 6t^(2) + 6 . At what time the velocity and accelerations are zero?

The displacement of the particle along a straight line at time t is given by X=a+bt+ct^(2) where a, b, c are constants. The acceleration of the particle is

SURA PUBLICATION-RELATIONS AND FUNCTIONS-EXECRISE 1.4
  1. Show that the function f:N toN defined by f(m)=m^(2)+m+3 is one-one fu...

    Text Solution

    |

  2. Let A={1, 2, 3, 4} and B=N, Let f:A to B be defined by f(x)=x^(3) then...

    Text Solution

    |

  3. Let A={1, 2, 3, 4} and B=N. Let f:A to B to defined by f(x)=x^(3) then...

    Text Solution

    |

  4. In each of the following cases state whether the functions is bijectiv...

    Text Solution

    |

  5. In each of the following cases state whether the functions is bijectiv...

    Text Solution

    |

  6. Let A={-1, 1} and B={0, 2}. If the functions f:A to B defined by f(x)=...

    Text Solution

    |

  7. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

    Text Solution

    |

  8. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

    Text Solution

    |

  9. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

    Text Solution

    |

  10. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

    Text Solution

    |

  11. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  12. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  13. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  14. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  15. The distance S an object travles under the influence of gravity in tim...

    Text Solution

    |

  16. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  17. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  18. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  19. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  20. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |