Home
Class 12
MATHS
If the displacement s at a time t is giv...

If the displacement s at a time t is given by `s = sqrt(1-t)`, than the velocity is

A

directly proportional to displacement

B

inversely proportional to displacement

C

equal to displacement

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

A particle moves along a straight line such that its displacement at any time t is given by x =t^3-6t^2 +3t +4 in m. The velocity when acceleration is zero is

For a particle moving on a straight line it is observed that the distance 's' and time 't' is given by s = 6t -1/2 t^(3) . The maximum velocity during the motion is

If the displacement of a particle is givne by s=((1)/(2)t^(2)+4sqrtt)m . Find the velocity and acceleration at t = 4 seconds.

If the displacement of a particle is given by y(t)=A sin (omega t +phi) , then find the maximum velocity of the particle.

If a ball is thrown vertically upward and the height 's' reached in time 't' is given by s = 22 t - 11 t^(2) , then the total distance travelled by the ball is

If the distance 's' metres traversed by a particle in 1 seconds is given by s=t^(3)-3t^(2) , then the velocity of the particle when the acceleration is zero, in metres/sec. is

The distance moved by the particle in time t is given by x=t^(3)-12t^(2)+6t+8 At the instant when its acceleration is zero, the velocity is

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The distance s feet travelled by a particle in time t seconds is given...

    Text Solution

    |

  2. If the displacement of a particle is nil then distance travelled will ...

    Text Solution

    |

  3. If the displacement s at a time t is given by s = sqrt(1-t), than the ...

    Text Solution

    |

  4. An edge of a variable cube is increasing at the rate of 10 cm per seco...

    Text Solution

    |

  5. The rate of change of the volume of the sphere w.r.t its surface area,...

    Text Solution

    |

  6. The volume of the sphere is increasing at a constant rate. Then the ra...

    Text Solution

    |

  7. A rod of length 13 metres. has its end P on the x-axis and the other ...

    Text Solution

    |

  8. With a given surface area, the volume of a right circular cylinder wil...

    Text Solution

    |

  9. The sides of an equilateral triangle are increasing at the rate of 2 c...

    Text Solution

    |

  10. If the line ax+by+c=0 is a normal to the curve xy=1, then :

    Text Solution

    |

  11. The curve y=x^(1//5) has at (0, 0) :

    Text Solution

    |

  12. The line (x)/(a)+(y)/(b)=1 touches the curves y= be^(-x//a) at the poi...

    Text Solution

    |

  13. The normal at the point (1,1) on the curve 2y = 3-x^(2) is

    Text Solution

    |

  14. If the slope of the normal to the curve x^(3)=8a^(2)y, a gt 0 at a poi...

    Text Solution

    |

  15. The point on the curve y = 6x-x^(2) where the tangent is parallel to x...

    Text Solution

    |

  16. The area of the triangle formed by the co-ordinate axes and a tangent ...

    Text Solution

    |

  17. The point on the curve y=(x-3)^(2), where the tangent is parallel to ...

    Text Solution

    |

  18. The slope of the tangent to the curve : x=a sin t, y = a(cos t+log "...

    Text Solution

    |

  19. The equation of the horizontal tangent to the curve y=e^(x)+e^(-x) is ...

    Text Solution

    |

  20. The points on the curve y=12x-x^(3), the tangents at which are paralle...

    Text Solution

    |