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A fighter plane flying horizontally at a...

A fighter plane flying horizontally at an altitude of ` 1.5 km` with speed ` 720 kmh^(-1)` passes directly over head an anticraft gun.
At what angle from the vertical should the gun be fired from the shell with muzzle speed ` 600 ms^(-1)` to hit plane.
At what minimum altitude should the pilot fly the plane to avoid being hit ? ( Take g= 10 `ms^(-2)`).

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Verified by Experts

The correct Answer is:
At an angle of `sin^(-1)(1//3)=19.5^(@)` with the vertical ; 16 km .
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NCERT TAMIL-MOTION IN A PLANE-EXCERCISES
  1. A man can swim with a speed 4km/hr in still water. (a) How long does...

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  2. In a harbour, wind is blowing at the speed of 72 km //h and the flag ...

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  3. The ceiling of a long hall is 25 m high. What is the maximum horizonta...

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  4. A cricketer can throw a ball to a maximum horizontal distance of 100 m...

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  5. A stone tied to the end of a string 80 cm long is whirled in a horizon...

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  6. An aircraft executes a horizontal loop of radius 1 km with a steady sp...

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  7. Read each statement below carefully and state, with reasons, if it is ...

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  8. The position of a particle is given by r=3.0thati-2.0t^(2)hatj+4....

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  9. A particle starts from the origin at t=Os with a velocity of 10.0 hatj...

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  10. hati and hatj are unit vectors along x-axis and y-axis respectively wh...

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  11. For any arbitrary motion in space, which of the following relations ar...

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  12. Read each statement below carefully and state with reason and examples...

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  13. An aircraft is flying at a height of 3400 m above the ground. If the a...

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  14. A vector has magnitude and direction (i) Does it have a location in th...

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  15. A vector has both magnitude and direction. Does that mean anything tha...

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  16. Can you associate vectors with (a) the length of a wire bent into a lo...

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  17. A bullet fired at an angle of 30^(@) with the horizontal hits the gro...

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  18. A fighter plane flying horizontally at an altitude of 1.5 km with spe...

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  19. A cylclist is riding with a speed of 27 km h^-1. As he approaches a ci...

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  20. (a) Show that for a projectile the angle between the velocity and the...

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