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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))`.

Text Solution

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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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A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 km *h^(-1) passes directly over an anti-aircraft gun. At what angle with the vertical should the gun be fired for the shell with muzzle speed 600 m*s^(-1) to hit the plane? At what minimum altitude should the pilot fly the plane to avoid being hit ? (Take g=10 m*s^(-2) ).

A gun is kept on a horizontal road and is used to hit a running car. The uniform speed of the car is 72km/h . At the instant of firing at an angle of 45^@ with the horizontal , the car is at a distance of 500 m from the gun. Find out the distance between the gun and the car at the instant of hitting. Given, g=10m//s^2 .

Knowledge Check

  • A jet flying horizontally is viewed by a person directly below in position when he receives the sound of the jet at an angle 36^@ to the vertical. If the speed of the plane while releasing the sound is 164 ms^(-1) and has moved to the point directly overhead. The speed of sound is

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