Home
Class 11
PHYSICS
A particle is moving in a straight line ...

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

20

B

30

C

80

D

50

Text Solution

Verified by Experts

The correct Answer is:
D

`s_(t)=u+(t)/(2)(2t-1),s_(t+1)=u+(t)/(2)(2t+1)`
`s_(t)+s_(t+1)=100,v=u+ft`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 2 C.W|25 Videos
  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 3 C.W|25 Videos
  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise C.U.Q|42 Videos
  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos
  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos

Similar Questions

Explore conceptually related problems

A particle is moving along straight line with initial velocity +7m//sec and uniform acceleration -2m//sec^(2) . The distance travlled by the particle in 4th second of its motion is:

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

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .

A particle is moving in a straight line under constant acceleration of 4 m//s^(2) . If its velocity at t=0 is 10 m//s, the displacement of particle in the 5^(th) second of its motion is

A particle moves rectilinearly with initial velocity u and constant acceleration a. Find the average velocity of the particle in a time interval from t=0 to t=t second of its motion.

The initial velocity of a body moving along a straight lines is 7m//s . It has a uniform acceleration of 4 m//s^(2) the distance covered by the body in the 5^(th) second of its motion is-

A particle moves in a straight line with a uniform acceleration a. Initial velocity of the particle is zero. Find the average velocity of the particle in first 's' distance.

A particle with initial velocity u is moving with uniform acceleration (a). The distance moved by the particle in the t^(th) second is given by S=u+(1)/(2)a(2t-1) The dimensions of S must be

NARAYNA-MOTION IN A STRAIGHT LINE-Level 1 C.W
  1. A body is moving along the circumference of a circle of radius R and c...

    Text Solution

    |

  2. A body completes one round of a circle of radius R in 20 second. The d...

    Text Solution

    |

  3. If a body covers first half of its journey with uniform speed v(1) and...

    Text Solution

    |

  4. A car is moving along a straight (OP). It moves from O to P in 18 seco...

    Text Solution

    |

  5. For body moving with uniform acceleration a, initial and final velocit...

    Text Solution

    |

  6. A body moves with a velocity of 3 m//s due east and then turns due nor...

    Text Solution

    |

  7. If a body travles 30 m in an interval of 2 s and 50 m in the next inte...

    Text Solution

    |

  8. A bullet travelling horizontally looses 1//20^(th) of its velocity whi...

    Text Solution

    |

  9. If S(n)=2+0.4n find initial velocity and acceleration

    Text Solution

    |

  10. A particle starts moving from rest under uniform acceleration it trave...

    Text Solution

    |

  11. A particle is moving in a straight line with initial velocity u and un...

    Text Solution

    |

  12. A particle is moving with uniform acceleration along a straight line A...

    Text Solution

    |

  13. A car moving on a straight road accelerated from a speed of 4.1 m//s t...

    Text Solution

    |

  14. A body projected vertically upwards with a velocity of 19.6 m//s reach...

    Text Solution

    |

  15. A ball is thrown straight upward with a speed v from a point h meter a...

    Text Solution

    |

  16. A ball is dropped on the floor from a height of 10m. It rebounds to a ...

    Text Solution

    |

  17. A body freely falling from the rest has velocity v after it falls thro...

    Text Solution

    |

  18. A ball A is dropped from a building of height 45 m. Simultaneously a...

    Text Solution

    |

  19. Two cars 1 & 2 starting from rest are moving with speeds V(1) and V(2)...

    Text Solution

    |

  20. Two cars are travelling towards each other on a straight road at veloc...

    Text Solution

    |