Home
Class 11
PHYSICS
With the usual notations the following e...

With the usual notations the following equation `S_(t)=u+1/2a(2t-1)` is

A

only numerically correct

B

only dimensionally correct

C

both numerically and dimensionally correct

D

neither numerically nor dimensionally correct

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos
  • Mechanical Properties of Solids

    SL ARORA|Exercise Example|113 Videos
  • Motion in a Plane

    SL ARORA|Exercise Excercise|397 Videos

Similar Questions

Explore conceptually related problems

With the usual notations , check if the following equation S_(t) = u + (1)/(2) a ( 2t -1) is dimensionally correct or not.

The displacement s of an object is given as a function of time t by the following equation s=2t+5t^(2)+3t^(3) . Calculate the instantaneous velocity of the object at t = 1 s.

Check the correctness of the relation s_(t) = u+ (a)/(2) (2t-1) where u is initial velocity a is acceleration and s_(t) is the diplacement of the body in t^(th) second .

The displacment of a particle is represented by the following equation : s=3t^(3)+7t^(2)+5t+8 where s is in metre and t in second. The acceleration of the particle at t=1:-

Check the correctness of following equation by the method of dimensions : S=ut+(1)/(2)at^(2) . where S is the distance covered bu a body in time t, having initial velocity u and acceleration a.

Show that the locus represented by x = 1/2 a (t + 1/t) , y = 1/2 a (t - 1/t) is a rectangular hyperbola. Show also that equation to the normal at the point 't' is x/(t^(2) + 1) + y/(t^(2) - 1) = a/t .

Determine P ,so that,the following equation has coincident roots T^(2)+P^(2)=2(P+1)T

The equation of the normal to the curve given by equations x=t^(2)+1/(t^(2)) , y=t-(1)/(t) at a point where slope of tangent is (1)/(2) ,is

Let u(t) and v(t) be two solutions of the differential equation ((dy)/(dt))=e^(t^2)y+sin t with u(2) lt v(2). Statement-1 : u(2) < v(2) for all t. Statement-1 : u-v is proportional to a positive function of t.

SL ARORA-MECHANICS-Exercise
  1. The acceleration a of a particle starting from rest varies with time a...

    Text Solution

    |

  2. Given a = 2t + 5. Calculate the velocity of the body after 10 sec if i...

    Text Solution

    |

  3. With the usual notations the following equation S(t)=u+1/2a(2t-1) is

    Text Solution

    |

  4. What is the relation between displacement, time and acceleration in ca...

    Text Solution

    |

  5. A body sliding down on a smooth inclined plane slides down 1//4th dist...

    Text Solution

    |

  6. A particle moving in one dimension with a constant acceleration of 2 m...

    Text Solution

    |

  7. A particle starts from rest, accelerates at 2(m)/(s^2) for 10 s and th...

    Text Solution

    |

  8. The velocity of a particle at an instant is 10 m s^(-1). After 3 s its...

    Text Solution

    |

  9. A particle starts from rest with uniform acceleration a. Its velocity...

    Text Solution

    |

  10. A car accelerates from rest at a constant rate for some time after wh...

    Text Solution

    |

  11. The velocity with which a body stricks the ground is always equal to ...

    Text Solution

    |

  12. If a ball is thrown vertically upwards with a velocity of 40m//s, then...

    Text Solution

    |

  13. A stone released with zero velocity from the top of a water, reaches t...

    Text Solution

    |

  14. A stone is thrown vertically up from the ground. It reaches a maximum ...

    Text Solution

    |

  15. A stone falls freely such that the distance covered by it in the last ...

    Text Solution

    |

  16. A body sliding on a smooth inclined plane requires 4s to reach the bot...

    Text Solution

    |

  17. Find the ratio of the distances travelled by a freely falling body in ...

    Text Solution

    |

  18. When a ball is thrown vertically upwards, at the maximum height

    Text Solution

    |

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

    Text Solution

    |

  20. A body A is thrown up vertically from the ground with velocity V(0) an...

    Text Solution

    |