Home
Class 11
PHYSICS
The displacement of the particle along a...

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

A

a

B

b

C

c

D

2c

Text Solution

Verified by Experts

The correct Answer is:
B, C
`X=a+bt+ct^(2)`
`(dX)/(dt)=v=b+2ct`
Acceleration `(d^(2)X)/(dt^2)=2c`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS - 1 (2 MARKS))|20 Videos

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (NUMERICAL QUESTIONS)|42 Videos

  • KINEMATICS

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED (LONG ANSWER QUESTIONS)|14 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos

  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Addtional Numerical Problems|10 Videos

Similar Questions

Explore conceptually related problems

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 displacement of a particle moving along x-axis with respect to times is given by x=at+bt^(2)-ct^(3) . The dimensions of b are

The velocity v of a particle moving along a straight line when at a distance x from the origin is given by a + bv^(2) = x^(2) where a and b are constants then the acceleration is:

For particle in SHM, the displacement x of the particle as a function o time t is given as x=A sin (2pi t) . Here x is in cm and t is in second. Let the time taken by the particle to travel from x=0 to x=(A)/(2) be t_(1) and the time taken to travel from x=(A)/(2) to x=A be t_(2) find (t_(1))/(t_(2))

The displacement of a particle along the x-axis is given by x = asin^2 omegat . The motion of the particle corresponds to

If position of a particle at instant t is given by x=3t^(2) , find the velocity and acceleration of the particle.

The velocity v of a particle at time t is given by v = a t + \frac { b } { t + c } where a, b and c are constant. The dimensions of a, b and c respectively are

The x and y coordination of the particle at any time are x=5t - 2t^2 and y =10 t respectively , where x and y are in metres and t in seconds . The acceleration of the particle at t=2s is:

The displacement (x) of a particle is given by x= a sin (bt+c) where a, b and c are constants of motion. Select the incorrect statement from the following .

FULL MARKS-KINEMATICS-ADDITIONAL QUESTIONS SOLVED (I.MULTIPLE CHOICE)
  1. A particle at rest starts moving in a horizontal straight line with un...

    Text Solution

    |

  2. The distance travelled by a body, falling freely from rest in t=1s, t=...

    Text Solution

    |

  3. The displacement of the particle along a straight line at time t is gi...

    Text Solution

    |

  4. Two bullets are fired at an angle of theta and ( 90 - theta ) to the h...

    Text Solution

    |

  5. A particle moves along a circular path under the action of a force. Th...

    Text Solution

    |

  6. For a particle, revolving in a circle with speed, the acceleration of ...

    Text Solution

    |

  7. A gun fires two bullets with same velocity at 60^(@) and 30^(@) with h...

    Text Solution

    |

  8. A ball is thrown vertically upward at a speed of 10 m/s. When it has r...

    Text Solution

    |

  9. A car moves from X to Y with a uniform speed V(u) and returns to Y wit...

    Text Solution

    |

  10. Two projectiles of same mass and with same velocity are thrown at an a...

    Text Solution

    |

  11. An object of mass 3 kg is at rest. Now a force of vecF=6t^(2)hati+4tha...

    Text Solution

    |

  12. During a projectile motion if the maximum height equals the horizontal...

    Text Solution

    |

  13. A bullet is dropped from some height, when another bullet is fired hor...

    Text Solution

    |

  14. From this velocity-time graph, which of the following is correct?

    Text Solution

    |

  15. When a projectile is at its maximum height, the direction of its veloc...

    Text Solution

    |

  16. At the highest point of oblique projection, which of the following is ...

    Text Solution

    |

  17. The range of the projectile depends

    Text Solution

    |

  18. A constant force is acting on a particle and also acting perpendicular...

    Text Solution

    |

  19. If a body moving in a circular path with uniform speed, then

    Text Solution

    |

  20. A body is projected vertically upward with the velocity v=3hati+4hatjm...

    Text Solution

    |