Home
Class 11
PHYSICS
At time t, positions of three particles ...

At time t, positions of three particles A,B, and C are as follows.
`x_(A) = 2t + 7, x_(8) = 3t^(2) + 2t + 6, x_(C) = 5t^(3) + 4t`
Which of them has uniform (constant) acceleration ?

Text Solution

AI Generated Solution

To determine which of the three particles (A, B, or C) has uniform (constant) acceleration, we need to analyze their position functions and find their respective accelerations. ### Step 1: Write down the position functions The position functions for the three particles are given as: - \( x_A = 2t + 7 \) - \( x_B = 3t^2 + 2t + 6 \) - \( x_C = 5t^3 + 4t \) ...
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (DISTANCE AND DISPLACEMENT)|2 Videos
  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (SPEED AND VELOCITY)|9 Videos
  • GRAVITATION

    MTG GUIDE|Exercise AIPMT/NEET MCQS|32 Videos
  • LAWS OF MOTION

    MTG GUIDE|Exercise AIPMT /NEET (MCQ)|24 Videos

Similar Questions

Explore conceptually related problems

Given below are the equations of motion of four particles A, B, C and D x_(A)=6t-3, x_(B)=4t^(2)-2t+3, x_(C)=3t^(3)-2t^(2)+t-7, x_(D)=7 cos 60^(@)-3 sin 30^(@) The particle moving with constant acceleration is

Each of four particles moves along an x axis. Their coordinates (in meters) as function of time (in seconds) are given by Particle 1:x(t) =3.5 -2.7t^(3) Particle :2 x(t)=3.5+2.7 t^(3) particle 3: x(t) =3.5+2.7 t^(2) particle 4: x(t)=3.5-3.4 t -2.7 t^(2) Which of these particles have constant acceleration ?

Position of a particle,as a function of t is given by e=5+4t+3t^(2) ,find its rate of change ' x with respect to t at t

Completion type Question : The position of a body with respect to time is given by x = 2t^(3) - 6t^(2) + 92t + 6 . If x is in metres and t in seconds, then acceleration at t = 0 is

If s=2t^(3)+3t^(2)+2t+8 then find time at which acceleration is zero.

The position x of a particle varies with time t as x=a t^(2)-b . For what value of t acceleration is zero?

Displacement (x) of a particle is related to time (t) as x = at + b t^(2) - c t^(3) where a,b and c are constant of the motion. The velocity of the particle when its acceleration is zero is given by:

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

The position of a particle moving on a straight line depends on time t as x=(t+3)sin (2t)

MTG GUIDE-KINEMATICS -AIPMT/ NEET MCQs
  1. At time t, positions of three particles A,B, and C are as follows. x...

    Text Solution

    |

  2. A particle move a distance x in time t according to equation x = (t + ...

    Text Solution

    |

  3. A ball is droped from a high rise platform t = 0 starting from rest. A...

    Text Solution

    |

  4. A particle has an initial velocity 3hati+4hatj and an accleration of 0...

    Text Solution

    |

  5. Six vectors, veca through vecf have the magnitudes and directions in...

    Text Solution

    |

  6. The speed of a projectile at its maximum height is half of its initial...

    Text Solution

    |

  7. A particle moves in x-y plane according to ru le x=a sin omegat and y=...

    Text Solution

    |

  8. A boy standing at the top of a tower of 20m of height drops a stone. A...

    Text Solution

    |

  9. A particle moves in a circle of radius 5 cm with constant speed and ti...

    Text Solution

    |

  10. A missile is fired for maximum range with an initial velocity of 20m//...

    Text Solution

    |

  11. A body is moving with velocity 30 m//s towards east. After 10 s its ve...

    Text Solution

    |

  12. A projectile is fired at an angle of 45^(@) with the horizontal. Eleva...

    Text Solution

    |

  13. A particle covers half of its total distance with speed v1 and the res...

    Text Solution

    |

  14. The horizontal range and the maximum height of a projectile are equal....

    Text Solution

    |

  15. A particle has initial velocity (2 vec(i)+3 vec(j)) and acceleration (...

    Text Solution

    |

  16. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  17. A stone falls freely under gravity. It covered distances h1, h2 and h3...

    Text Solution

    |

  18. a projectile is fired from the surface of the earth with a velocity of...

    Text Solution

    |

  19. A particle is moving such that its position coordinates (x, y) are (2m...

    Text Solution

    |

  20. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |

  21. A ship A is moving westwards with a speed of 10 km h^(-1) and a ship B...

    Text Solution

    |