Home
Class 11
PHYSICS
A projectile is projected with the initi...

A projectile is projected with the initial velocity `(6i + 8j) m//s`. The horizontal range is `(g = 10 m//s^(2))`

A

4.8 m

B

9.6 m

C

19.2 m

D

14.0 m

Text Solution

Verified by Experts

The correct Answer is:
B

Here, ` u cos theta = 6, u sin theta = 8 and g = 10 ms^(-2)`
`:. R=(u^2sin 2theta)/g=(2u^2sin thetacos theta)/g=(2(usintheta)(u cos theta))/g`
`= (2 xx 8 xx 6)/10 = 9.6 m`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (UNIFORM CIRCULAR MOTION)|8 Videos
  • KINEMATICS

    MTG GUIDE|Exercise CHECK YOUR NEET VITALS|22 Videos
  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (MOTION IN A PLANE )|23 Videos
  • GRAVITATION

    MTG GUIDE|Exercise AIPMT/NEET MCQS|32 Videos
  • LAWS OF MOTION

    MTG GUIDE|Exercise AIPMT /NEET (MCQ)|24 Videos

Similar Questions

Explore conceptually related problems

A body is projected with a initial velocity of (8hati+6hatj) m s^(-1) . The horizontal range is (g = 10 m s^(-2))

What are the two angles of projection of a projectile projected with velocity of 30 m//s , so that the horizontal range is 45 m . Take, g= 10 m//s^(2) .

What are the angles of projection of a projectile projected with velocity 30 ms^(-1) , so that the horizontal range is 45 m ? Take g = 10 ms^(-2) .

A particle is projected with velocity 20sqrt(2)m//s at 45^(@) with horizontal. After 1s (g=10m//s^(2)) match the following table

A projectile is projected from top of a wall 20m height with a speed of 10m/s horizontally. Find range (g = 10m/s^(2))

A projectile is projected with initial velocity (6hati+8hatj) m/s.Minimum time after which its velocity becomes parallel to the line 4y-3x+2=0, is ?( bar(g)=-10hatj m/ s^(2) )

A projectile is projected in air with initial velocity vec v=(3 hat i + 4 hat j) m/s from the origin. The equation of trajectory of the projectile is given as (g=-10 hat j m/s^2) (neglect air resistance )

A projectile is projected from ground with an initial velocity (5hati+10hatj)m//s If the range of projectile is R m, time of flight is Ts and maximum height attained above ground is Hm, find the numerical value of (RxxH)/T . [Take g=10m//s^2 ]

A projectile is thrown with an initial velocity of (xveci + y vecj) m//s . If the range of the projectile is double the maximum height reached by it, then

A particle is projected with velocity of 10m/s at an angle of 15° with horizontal.The horizontal range will be (g = 10m/s^2)

MTG GUIDE-KINEMATICS -Topicwise Practice Questions (PROJECTILE MOTION)
  1. A ball is thrown from a point with a speed V(0),at an angle of project...

    Text Solution

    |

  2. A particle is projected at an angle of 60^(@) above the horizontal wit...

    Text Solution

    |

  3. A projectile is projected with the initial velocity (6i + 8j) m//s. Th...

    Text Solution

    |

  4. A body is thrown with a velocity of 9.8 m//s making an angle of 30^(@)...

    Text Solution

    |

  5. A projectile has initially the same horizontal velocity as it would ac...

    Text Solution

    |

  6. Three projectiles A, B and Care projected at an angle of 30^@, 45^@, 6...

    Text Solution

    |

  7. Two balls are projected making angles of 30° and 45°respectively with ...

    Text Solution

    |

  8. A hose lying on the ground shoots a stream of water upward at an angle...

    Text Solution

    |

  9. A ball is thrown at a certain angle with the horizontal and it returns...

    Text Solution

    |

  10. Two bodies are thrown up at angles of 45^@ and 60^@ respectively, wi...

    Text Solution

    |

  11. Four particles are fired with the same velocities at angles 250^@, 40^...

    Text Solution

    |

  12. The equations of motion of a projectile are given by x=36tm and 2y=96t...

    Text Solution

    |

  13. The speed of a projectile when it is at its greatest height is sqrt(2/...

    Text Solution

    |

  14. A ball of mass M is thrown vertically upwards. Another ball of mass 2M...

    Text Solution

    |

  15. A particle is projected from the ground with an initial speed of v at ...

    Text Solution

    |

  16. Two stones are projected with the same speed but making different angl...

    Text Solution

    |

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

    Text Solution

    |

  18. A cricket ball thrown across a field is at heights h(1) and h(2) from ...

    Text Solution

    |

  19. A particle is projected from a horizontal plane with a velocity of 8sq...

    Text Solution

    |

  20. A stone is projected with a velocity 20sqrt2 m//s at an angle of 45^(@...

    Text Solution

    |