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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 km/h passes directly overhead an anti - aircraft gun . At what angle from the vertical should the gun be fired for the shell with muzzle speed `600"ms"^(-1)` to hit the plane ? At what minimum altitude should the pilot fly the plane to avoid being hit ? (Take g=`10 " ms "^(-2))`.

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The correct Answer is:
At an angle of `sin^(-1)(1//3)=19.5^(@)` with the vertical ; 16 km .
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NCERT GUJARATI-MOTION IN A PLANE-EXCERCISES
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  2. In a harbour , wind is blowing at the speed of 72 km/h and the flag on...

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  3. The celling of a long hall is 25 m high What is the maximum horizontal...

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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 astring 80 cm long is whirled in a horizon...

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  6. An aircraft executes a horizontal loop of radius 1.00 km with a steady...

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

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  8. The position of a particle is given by r=3.0hati-2.0t^(2)hatj+4.0...

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  9. A particle starts from the origin at t=0 s with a velocity of 10.0hatj...

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  10. hatiandhatj are unit vectors along x - and y- axis respectively . What...

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

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  12. Read each statement below acrefully and state , with reasons and exam...

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

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  14. A very has magnitude and direction . Does it have a location in space...

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  15. A vector has both magnitude and direaction . Does it mean that anythin...

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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 grou...

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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 cyclist is riding with a speed of 27 km /h . As he approaches a circ...

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

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