Home
Class 12
MATHS
The law of motion of a body moving along...

The law of motion of a body moving along a straight line is `x= (1)/(2)` vt, x being its distance from a fixed point on the line at time t and v is its velocity there. Then

A

acceleration f varies directly with x

B

acceleration f varies inversely with x

C

acceleration f is constant

D

acceleration f varies directly with t

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos
  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

The law or motion of a body moving along a straight line is x=(1)/(2)vt, x being its distance from a fixed point on the line at time t and v is its velocity there. Then

The acceleration of a particle moving along a straight line is (6t^(2)-3t)cm//s^(2) , at time t seconds. If the velocity of the particel at time 2 seconds be 10cm/s, find its velocity at time t seconds.

A particle is moving in a straight line its distance from a fixed point on the line at the end of t second is x metres , where x=t^(4)-10t^(3)+24t^(2)+36t-10 When is it moving most slowly ?

A particle is moving in a straight line and its distance x cm from a fixed point on the line at any time t seconds is given by , x=(1)/(12)t^(4)-(2)/(3)t^(3)+(3)/(2)t^(2)+t+15 . At what time is the velocity minimum ? Also find the minimum velocity.

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=1/4 t^4-2t^3+4t^2-7 . Find the time its velocity is maximum and the time when its acceleration is minimum.

A particle moving in a straight line describes a distance x cm from a fixed point on the line at time at time t s where x=t^(5)-40t^(3)+30t^(2)+180t+240 . Find when the acceleration is minimum and find the minimum value of acceleration.

The distance of a point P from the striaght line x=-4 is equal to its distance from the point (3,0) . Find the equation to the locus of P.

Find the coordinates of points on the straight line x+y=4 which are at unit distance from the line 4x+3y=10.

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=(1)/(4)t^(4)-2t^(3)+4t^(2)-7 Find the time when its velocity is maximum and the time when its acceleration is minimum .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. The differential equation representing the family of curves y^(2)= 2d(...

    Text Solution

    |

  2. Let y(x) be a solution of (1-x^(2)) (dy)/(dx) + 2xy -4x^(2)= 0 and y(0...

    Text Solution

    |

  3. The law of motion of a body moving along a straight line is x= (1)/(2)...

    Text Solution

    |

  4. Find the equation of tangents at the point (1,2) of y= x^(2)

    Text Solution

    |

  5. Given that n numbers of A.Ms are inserted between two sets of numbers ...

    Text Solution

    |

  6. If x + log(10) (1 + 2^(x)) = x log(10) 5 + log(10)6 then the value of ...

    Text Solution

    |

  7. If Z(r )= "sin" (2pi r)/(11)- "I cos" (2pi r)/(11) then underset(r = 0...

    Text Solution

    |

  8. If z(1) and z(2) be two non zero complex numbers such that (z(1))/(z(2...

    Text Solution

    |

  9. If b(1) b(2)= 2(c(1) +c(2))and b(1), b(2), c(1), c(2) are all real num...

    Text Solution

    |

  10. The number of selection of n objects from 2n objects of which n are id...

    Text Solution

    |

  11. Let A be the centre of the circle x^(2) + y^(2)-2x-4y -20 = 0. Let B(1...

    Text Solution

    |

  12. Let f(x) {(-2 sin x,"if " x le - (pi)/(2)),(A sin x + B," if " -(pi)/(...

    Text Solution

    |

  13. The normals to the curve y= x^(2)-x +1, drawn at the points with the a...

    Text Solution

    |

  14. The equation x log x= 3- x

    Text Solution

    |

  15. Consider the parabola y^(2)= 4x. Let P and Q be points on the parabola...

    Text Solution

    |

  16. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  17. For 0 le p le 1 and for any positive a, b, let I(p)= (a + b)^(p), J(p)...

    Text Solution

    |

  18. Let vec(alpha)= hat(i)+ hat(j) + hat(k), vec(beta) = hat(i) - hat(j)- ...

    Text Solution

    |

  19. Let vec(alpha), vec(beta), vec(gamma) be three unit vectors such that ...

    Text Solution

    |

  20. Let z(1) and z(2) be complex numbers such that z(1) ne z(2) and |z(1)|...

    Text Solution

    |