Home
Class 12
PHYSICS
A stuntman plans to run across a roof to...

A stuntman plans to run across a roof top and then horizontally off it to land on the roof of next bulding. The roof of the next building is 4.9 metre below the first one and 6.2 metre away from it. What should be his minimum roof top speed in m/s. so that he can successfully make the jump?

A

3.1

B

4

C

4.9

D

6.2

Text Solution

Verified by Experts

The correct Answer is:
D

`x=sqrt((2h)/(g))xxu`
`rArr u=xsqrt((g)/(2h))=6.2xxsqrt(9.8)/(2xx4.9)=6.2m//s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-3|41 Videos
  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos
  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-1|99 Videos
  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A man runs across the roof, top of a tall building and jumps horizontally with the hope of landing on the roof of the next building which is at a lower height than the first. If his speed is 9 m/s. the horizontal) distance between the two buildings is 10 m and the height difference is 9 m, will be able to land on the next building? (Take g = 10 m//s^(-2) )

A 2-m wide truck is moving with a uniform speed v_(0)=8 m/s along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4 m away from him, The minimum value of v so that he can cross the road safely is .

Scientists are working hard to develop nuclear fusion reactor Nuclei of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy. In the core of fusion reactor, a gas of heavy hydrogen of _(1)^(2) H is fully ionized into deuteron nuclei and electrons. This collection of _1^2H nuclei and electrons is known as plasma . The nuclei move randomly in the reactor core and occasionally come close enough for nuclear fusion to take place. Usually , the temperature in the reactor core are too high and no material will can be used to confine the to plasma for a time t_(0) before the particles fly away from the core. If n is the density (number volume ) of deuterons , the product nt_(0) is called Lawson number. In one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following boltzmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Assume that two deuteron nuclei in the core of fusion reactor at temperature energy T are moving toward each other, each with kinectic energy 1.5 kT , when the seperation between them is large enough to neglect coulomb potential energy . Also neglate any interaction from other particle in the core . The minimum temperature T required for them to reach a separation of 4 xx 10^(-15) m is in the range

Scientists are working hard to develop nuclear fusion reactor Nuclei of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy. In the core of fusion reactor, a gas of heavy hydrogen of _(1)^(2) H is fully ionized into deuteron nuclei and electrons. This collection of _1^2H nuclei and electrons is known as plasma . The nuclei move randomly in the reactor core and occasionally come close enough for nuclear fusion to take place. Usually , the temperature in the reactor core are too high and no material will can be used to confine the to plasma for a time t_(0) before the particles fly away from the core. If n is the density (number volume ) of deuterons , the product nt_(0) is called Lawson number. In one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following boltzmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Assume that two deuteron nuclei in the core of fusion reactor at temperature energy T are moving toward each other, each with kinectic energy 1.5 kT , when the seperation between them is large enough to neglect coulomb potential energy . Also neglate any interaction from other particle in the core . The minimum temperature T required for them to reach a separation of 4 xx 10^(-15) m is in the range

ALLEN -MOTION IN A PALNE-EXERCISE-2
  1. In the Q.23, the maximum height attained by the arrow is:-

    Text Solution

    |

  2. In the Q.23, the vertical component of the velocity is:-

    Text Solution

    |

  3. what is the angle? when sin (theta)=4 and cos (theta)=5

    Text Solution

    |

  4. The ceiling of a hall is 40m high. For maximum horizontal distance, th...

    Text Solution

    |

  5. a body is thrown horizontally with a velocity sqrt(2gh) from the top o...

    Text Solution

    |

  6. When a particle is thrown horizontally, the resultant velocity of the ...

    Text Solution

    |

  7. A ball is projected upwards from the top of a tower with a velocity 50...

    Text Solution

    |

  8. A ball is thrown at different angles with the same speed u and from th...

    Text Solution

    |

  9. Two balls A and B are thrown with speeds u and u//2, respectively. Bot...

    Text Solution

    |

  10. At what angle with the horizontal should a ball be thrown so that the ...

    Text Solution

    |

  11. The velocity of projection of oblique projectile is (6hati+8hatj)ms^(...

    Text Solution

    |

  12. An aeroplane moving horizontally with a speed of 180km/hr. drops a foo...

    Text Solution

    |

  13. A plane is flying horizontally at 98ms^(-1) and releases and object wh...

    Text Solution

    |

  14. If the range of a gun which fires a shell with muzzle speed V is R , t...

    Text Solution

    |

  15. A stuntman plans to run across a roof top and then horizontally off it...

    Text Solution

    |

  16. The maximum range of a projecitle fired with some initial velocity is ...

    Text Solution

    |

  17. The angle of which the velocity vector of a projectile thrown with a v...

    Text Solution

    |

  18. Two particles are separated at a horizontal distance x as shown in (Fi...

    Text Solution

    |

  19. A particle is projected an angle of 45^(@) from 8m before the foot of ...

    Text Solution

    |

  20. From the the top of a tower 19.6 m high, a ball is thrown horizontally...

    Text Solution

    |