Home
Class 12
PHYSICS
A particle moves along the positive bran...

A particle moves along the positive branch of the curve `y = (x^(2))/(2)` where `x = (t^(2))/(2),x` and y are measured in metres and t in second. At `t = 2s`, the velocity of the particle is

A

`1/sqrt2 m//s`

B

`sqrt3 m//s`

C

`sqrt2 m//s`

D

`2sqrt2 m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise Assignement section -C Objective (More than one option is correct)|7 Videos

  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise Assignement section -D (Linked Comprehension)|12 Videos

  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise Assignement section -A Objective (one option is correct)|50 Videos

  • MOCK_TEST_17

    AAKASH INSTITUTE ENGLISH|Exercise Example|15 Videos

  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)|15 Videos

Similar Questions

Explore conceptually related problems

A particle moves along the curve y = x^2 /2. Here x varies with time as x = t^2 /2. Where x and y are measured in metres and t in seconds. At t = 2 s, the velocity of the particle (in ms^-1 ) is

A travelling wave is given by y=(0.8)/((3x^(2)+24xt+48t^(2)+4)) where x and y are in metres and t is in seconds. Find the velocity in m//s .

A particle moves along the X-axis as x=u(t-2 s)+a(t-2 s)^2 .

A particle is moving along x-axis. The position of the particle at any instant is given by x= a+bt^(2) where ,a= 6 m and b= 3.5 ms^(-2) 't' is measured in second .Find (i) the velocity of the particle at 1s and (ii) the average velocity between 3s and 6s

The position of the particle moving along Y -axis is given as y=At^(2)-Bt^(3) , where y is measured in metre and t in second. Then, the dimensions of B are

The position of the particle moving along Y -axis is given as y=At^(2)-Bt^(3) , where y is measured in metre and t in second. Then, the dimensions of B are

A particle moves along the X-axis as x=u(t-2s)=at(t-2)^2 .

A particle moves in such a manner that x=At, y=Bt^(3)-2t, z=ct^(2)-4t , where x, y and z are measured in meters and t is measured in seconds, and A, B and C are unknown constants. Give that the velocity of the particle at t=2s is vec(v)=((dvec(r))/(dt))=3hat(i)+22hat(j) m//s , determine the velocity of the particle at t=4s .

A particle moves along x -axis. The position of the particle at time t is given as x=t^(3)-9t^(2)+24t+1 . Find the distance traveled in first 5 seconds.

The x and y coordinates of a particle at any time t are given by x = 2t + 4t^2 and y = 5t , where x and y are in metre and t in second. The acceleration of the particle at t = 5 s is

AAKASH INSTITUTE ENGLISH-MOTION IN A PLANE-Assignement section -B Objective (one option is correct)
  1. An object moves at constant speed along a cicular path in a horizontal...

    Text Solution

    |

  2. A particle moves along the positive branch of the curve y = (x^(2))/(2...

    Text Solution

    |

  3. A body is prodected with initial velocity ( 5hati + 12hati) m//s from ...

    Text Solution

    |

  4. A particle moves along the positive branch of the curve y = (x^(2))/(2...

    Text Solution

    |

  5. One second after the projection, a stone moves at an angle of 45^@ wi...

    Text Solution

    |

  6. The horizontal range of a projectile is R and the maximum height attai...

    Text Solution

    |

  7. Amplitude of a harmonic oscillator is A ,when velocity of particles is...

    Text Solution

    |

  8. A rectangular box is sliding on a smooth inclined plane of inclination...

    Text Solution

    |

  9. The speed of a projectile when it is at its greatest height is sqrt(2/...

    Text Solution

    |

  10. If the horizontal range of a projectile be a and the maximum height at...

    Text Solution

    |

  11. A grasshopper can jump a maximum horizontal distance of 40cm. If it sp...

    Text Solution

    |

  12. A body is projected horizontally with a speed v(0) find the velocity o...

    Text Solution

    |

  13. A particle is thrown with a speed is at an angle theta with the horizo...

    Text Solution

    |

  14. A projectile is thrown with an initial velocity of (a hati +b hatj) ms...

    Text Solution

    |

  15. A particle is projected with a velocity of 30 m/s at an angle theta...

    Text Solution

    |

  16. A projectile has same range for two angules of projection. If times of...

    Text Solution

    |

  17. A particle is projected with velocity 50 m/s at an angle 60^(@) with...

    Text Solution

    |

  18. A particle P is projected with velocity u1 at an angle of 30^@ with th...

    Text Solution

    |

  19. A projectile is fired to have maximum range 500 m. Maximum height atta...

    Text Solution

    |

  20. A particle projected at some angle with velocity 50 m/s crosses a 20 m...

    Text Solution

    |