Home
Class 11
PHYSICS
The displacement of a body at any time t...

The displacement of a body at any time t after starting is given by `s=15t-0.4t^2`. Find the time when the velocity of the body will be `7ms^-1`.

Text Solution

AI Generated Solution

To solve the problem step by step, we need to find the time when the velocity of the body is 7 m/s, given the displacement function \( s = 15t - 0.4t^2 \). ### Step 1: Understand the relationship between displacement and velocity Velocity is defined as the rate of change of displacement with respect to time. Mathematically, this is expressed as: \[ v(t) = \frac{ds}{dt} \] ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.5|2 Videos
  • ARCHIVES 2 VOLUME 6

    CENGAGE PHYSICS ENGLISH|Exercise Integer|4 Videos
  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Solved Example|13 Videos

Similar Questions

Explore conceptually related problems

The displace ment of a body at any time t after starting is given by s=10t-(1)/(2)(0.2)t^2 . The velocity of the body is zero after:

The displacement of a body executing SHM is given by x=A sin (2pi t+pi//3) . The first time from t=0 when the velocity is maximum is

The displacement of a body is given by s=(1)/(2)g t^(2) where g is acceleration due to gravity. The velocity of the body at any time t is

The displacement x of a particle moving along x-axis at time t is given by x^2 =2t^2 + 6t . The velocity at any time t is

At t=0 , a body starts from origin with some initial velocity. The displacement x(m) of the body varies with time t(s) as x=-(2//3)t^2+16t+2 . Find the initial velocity of the body and also find how long does the body take to come to rest? What is the acceleration of the body when it comes to rest?

The position of a body moving along x-axis at time t is given by x= (t^(2)-4t+6)m . The velocity of the body at time t = 3s is

The coordinates of a body moving in a plane at any instant of time t are x=alphat^(2) and y=betat^(2) . The velocity of the body is

For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

A body is released to fall under the influence of gravity and its equation of motion is given by s(t)=(9t^(2)+4)sec . Find the ratio of the instantaneous velocities of the body at the fifth second to that at the seventh second after release.

CENGAGE PHYSICS ENGLISH-BASIC MATHEMATICS-Exercise 2.6
  1. The displacement of a particle is given by y=(6t^2+3t+4)m, where t is ...

    Text Solution

    |

  2. The velocity of a particle is given by v=12+3(t+7t^2). What is the acc...

    Text Solution

    |

  3. A particle starts from origin with uniform acceleration. Its displacem...

    Text Solution

    |

  4. The acceleration of a particle is given by a=t^3-3t^2+5, where a is in...

    Text Solution

    |

  5. A particle starts moving along the x-axis from t=0, its position varyi...

    Text Solution

    |

  6. A particle moves along the x-axis obeying the equation x=t(t-1)(t-2), ...

    Text Solution

    |

  7. The speed of a car increases uniformly from zero to 10ms^-1 in 2s and ...

    Text Solution

    |

  8. A car accelerates from rest with 2ms^-2 for 2s and then decelerates co...

    Text Solution

    |

  9. A stationary particle of mass m=1.5kg is acted upon by a variable forc...

    Text Solution

    |

  10. The displacement of a body at any time t after starting is given by s=...

    Text Solution

    |

  11. A particle moves along a straight line such that its displacement at a...

    Text Solution

    |

  12. The displacement x of a particle moving in one dimension under the act...

    Text Solution

    |

  13. The position x of a particle varies with time t according to the relat...

    Text Solution

    |

  14. The displacement of a particle along the x-axis is given by x=3+8t+7t^...

    Text Solution

    |

  15. The acceleration a in ms^-2 of a particle is given by a=3t^2+2t+2, whe...

    Text Solution

    |

  16. The displacement x of a particle along the x-axis at time t is given b...

    Text Solution

    |

  17. A particle moves along a straight line such that its displacement at a...

    Text Solution

    |

  18. The acceleration of a bus is given by ax(t)=at, where a=1.2ms^-2. If...

    Text Solution

    |

  19. The acceleration of a motorcycle is given by ax(t)=At-Bt^2, where A=1....

    Text Solution

    |

  20. The acceleration of a particle varies with time t seconds according to...

    Text Solution

    |