Home
Class 11
PHYSICS
A particle moving in a straight in a str...

A particle moving in a straight in a straight line has velocity and displacement equation as
`v = 4 sqrt(1 + s)`,
where `v` is in m/s and s is in m. The initial velocity of the particle is:

A

4 m/s

B

16 m/s

C

2 m/s

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A

`v = 4 sqrt(1 + s)`
`v^(2) = 16 + 16s`
`v^(2) - 16 = 16s`
`v^(2) - (4)^(2) = 2 (8) s`
`:.` Initial velcoity `= 4 m//s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise More than one choice is correct|16 Videos
  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Assertion Reason|12 Videos
  • MOTION IN A STRAIGHT LINE

    GRB PUBLICATION|Exercise Problems and Practice|16 Videos
  • FRICTION AND CIRCULAR MOTION

    GRB PUBLICATION|Exercise Comprehension type|11 Videos
  • MOTION IN TWO AND THREE DIMENSIONS

    GRB PUBLICATION|Exercise All Questions|210 Videos

Similar Questions

Explore conceptually related problems

A particle moving in a straight line has velocity-displacement equation as v = 5 sqrt(1 + s). Here v is in ms^-1 and s in metres. Select the correct alternative.

Power of the only force acting on a particle of mass m=1 kg moving in straight line depends on its velocity as P=v^(2) where v is in m/s and P is in watt. If initial velocity of the particle is 1m/s, then the displacement of the particle in ln2 second will be :

For a particle moving along a straight line, its velocity 'v' and displacement 's' are related as v^(2) = cs , here c is a constant. If the displacement of the particle at t = 0 is zero, its velocity after 2 sec is:

A particle in moving in a straight line such that its velocity is given by v=12t-3t^(2) , where v is in m//s and t is in seconds. If at =0, the particle is at the origin, find the velocity at t=3 s .

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

The displacement s of a point moving in a straight line is given by: s = 8 t^(2) + 3t - 5 s being in cm and t in s. The initial velocity of the particle is:

A particle starts from rest and moves along a straight line such that its acceleration a as a function of velocity v is given as a=(5)/(3v+2) where a is in m/s^(2) and v is in m/s .The distance travelled by the particle till it attains velocity of 10m/s is

The velocity of a particle moving in a straight line is decreasing at the rate of 3 m//s per metre of displacement at an instant when the velocity is 10 m//s. Determine the acceleration of the particle at this instant.

A particle moves in a straight line as s =alpha(t-4)+beta(t-4)^(2) . Find the initial velocity and acceleration.

A particle moves along a straight line its velocity dipends on time as v=4t-t^(2) . Then for first 5 s :

GRB PUBLICATION-MOTION IN A STRAIGHT LINE-Objective question
  1. Check up only the correct statement in the following.

    Text Solution

    |

  2. An electron of mass m(e ) initially at rest moves through a certain di...

    Text Solution

    |

  3. A particle moving in a straight in a straight line has velocity and di...

    Text Solution

    |

  4. Starting from rest a particle moves in a straight line with accelerati...

    Text Solution

    |

  5. The motion of a body falling from rest in a resisting medium is descri...

    Text Solution

    |

  6. If a light and a heavy body are released from same height:

    Text Solution

    |

  7. Two bodies of different masses m(a) and m(b) are dropped from two diff...

    Text Solution

    |

  8. Two bodies one held 30 cm directly above the other are relased simulta...

    Text Solution

    |

  9. A body is released from the top of a tower of height h. It takes t sec...

    Text Solution

    |

  10. A body is released from a great height and falls freely towards the ea...

    Text Solution

    |

  11. A body falls from rest freely under gravity with an acceleration of 9....

    Text Solution

    |

  12. A stone is thrown upwards from the surface of the earth with an initia...

    Text Solution

    |

  13. An object is projected upwards with a velocity of 4.9 m/s. It will str...

    Text Solution

    |

  14. A boy throws balls into air.He throws one, whenver the previous one is...

    Text Solution

    |

  15. A pebble is thrown vertically upwards from a bridge with an height of ...

    Text Solution

    |

  16. A ball is thrown vertically upwards with a speed of 10 m//s from the t...

    Text Solution

    |

  17. A wooden block is dropped from the top of a cliff 100m high and simult...

    Text Solution

    |

  18. A stone is dropped into a lake from a tower 500 metre high. The sound ...

    Text Solution

    |

  19. A block slides down a smooth inclined plane when released from the top...

    Text Solution

    |

  20. The time taken by a particle to slide down a smooth inclined plane is ...

    Text Solution

    |