Home
Class 12
MATHS
If a point is moving in a line so that i...

If a point is moving in a line so that its velocity at time t is proportional to the square of the distance covered, then its acceleration at time t varies as

A

cube of the distance

B

the distance

C

square of the distance

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|27 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If a particle is moving such that the velocity acquired is proportional to the square root of the distance covered, then its acceleration is

The distance covered by a moving body is directly proportional to the square to the time. The acceleration of the body is

In a straight line motion the distance travelled is proportional to the square root of the time taken The acceleration of the particle is proportional to :-

A particle is moving on a straight line. Its velocity at time t is (8-2t)m//s . What is the total distance covered from t=0 to t=6s ?

If a particle moves along a line by S=sqrt(1+t) then its acceleration is proportional to

A point moves with decleration along the circle of radius R so that at any moment of time its tangential and normal accelerations are equal in moduli. At the initial moment t=0 the velocity of the point equals v_0 . Find: (a) the velocity of the point as a function of time and as a function of the distance covered s_1 , (b) the total acceleration of the point as a function of velocity and the distance covered.

For a particle moving along a circular path the radial acceleration a_r is proportional to t^2 (square of time) . If a_z is tangential acceleration which of the following is independent of time

A particle is moving in a straight line with initial velocity u and uniform acceleration f . If the sum of the distances travelled in t^(th) and (t + 1)^(th) seconds is 100 cm , then its velocity after t seconds, in cm//s , is.

A particle retards from a velocity v_(0) while moving in a straight line. If the magnitude of deceleration is directly proportional to the square loop of the speed of the particle, find its average velocity for the total time of its motion.

A particle is moving in a straight line. Its displacement at time t is given by s(I n m)=4t^(2)+2t , then its velocity and acceleration at time t=(1)/(2) second are

OBJECTIVE RD SHARMA ENGLISH-DERIVATIVE AS A RATE MEASURER -Exercise
  1. If the semivertical angle of a cone is 45^@. Then the rate of change o...

    Text Solution

    |

  2. On the curve x^3=12 y , find the interval of values of x for which the...

    Text Solution

    |

  3. If the rate of change of area of a square plate is equal to that of th...

    Text Solution

    |

  4. A stone dropped into a quiet lake. If the waves moves in circles at th...

    Text Solution

    |

  5. The side of a square is equal to the diameter of a circle. If the side...

    Text Solution

    |

  6. A variable DeltaABC is inscribed in a circle of diameter x units. At a...

    Text Solution

    |

  7. The radius and height of a cylinder are equal. If the radius of the sp...

    Text Solution

    |

  8. The points on the curve 12y = x^(3) whose ordinate and abscissa change...

    Text Solution

    |

  9. A particle moves along the parabola y^2=2ax in such a way that its pro...

    Text Solution

    |

  10. The diameter of a circle is increasing at the rate of 1 cm/sec. When i...

    Text Solution

    |

  11. A man 2 metres tall walks away from a lamp post 5 metres height at the...

    Text Solution

    |

  12. At an instant the diagonal of a square is increasing at the rate of 0...

    Text Solution

    |

  13. If s=ae^(t) + be^(-t) is the equation of motion of a particle, then it...

    Text Solution

    |

  14. A circular metal plate is heated so that its radius increases at a rat...

    Text Solution

    |

  15. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  16. If s=e^(t) (sin t - cos t) is the equation of motion of a moving parti...

    Text Solution

    |

  17. A spherical balloon is being inflated so that ists volume increases un...

    Text Solution

    |

  18. If a point is moving in a line so that its velocity at time t is propo...

    Text Solution

    |

  19. The edge of a cube is equal to the radius o the sphere. If the rate at...

    Text Solution

    |

  20. The side of an equilateral triangle is 'a' units and is increasing at ...

    Text Solution

    |