Home
Class 11
PHYSICS
A fighter plane is flying horizontally a...

A fighter plane is flying horizontally at an altitude of 1.5 km with speed `720 kmh^(-1)`. At what angle of sight (w.r.t horizontal) when the target is seen, should the pilot drop the bomb in order to attack the target? `(Take g=10ms^(-2))`

Text Solution

Verified by Experts

Refer Fig. 2 (EP).22, when the fighter plane is at (A) moving with horizontal speed ` u (= 720 kn//h =200 m//s)` observes the target at ` C. Let /_CAB= theta`. He releases a bomb at (A) with horizontal velocity ` 200 m//s` and it hits the target on ground after time (t).
Taking horizontal motion of fighter plance from ` A to B`, wher (B) vertically above the target, we have
` AB= ut =200 xx t` ...(i)
Taking vertical downaward motion of bomb from ` A to C`, we have
.
` BC= 1/2 xx 9.8 xx t^2 =4.9 t^2`
or ` 1500 =4.9 t^2 or ` t= sqrt (1500)/(4.9) =17 . 49 s`
:. ` AB=200 xx 17.49 m`
` tan theta =(BC)/(AB) = (1500)/(200 xx 17 .49) = 0.4287 =tan 23^@ 12'`
:. ` theta =23^@ 12'`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 1 Long answer|2 Videos

  • KINEMATICS

    PRADEEP|Exercise 2 Long answer|3 Videos

  • KINEMATICS

    PRADEEP|Exercise 5 Short answer|6 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A helicopter is flying horizontally at an altitude of 2km with a speed of 100 ms^(-1) . A packet is dropped from it. The horizontal distance between the point where the packet is dropped and the point where it hits the ground is (g = 10 ms^(-2))

A fighter plane flying horizontally at an altitude of 1.5 km with speed of 720 km h^9-10 passes directlu overhead an anticraft gun. At what anle fro the gun with muzzle speed 400 ms^(-1) to hit the plane in shortest time ?

A fightre plane flying horizontally at an altitude oa 1.5 km with speed 720 h^(-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 showld the pilot fly the plane to avoid being hit ? ( Take g= 10 ms^(-2)).

An enemy plane is flying horizontally at an altitude of 2km with a speed of 300 ms^(-1) .An army man with an anti-aircraft gun on the ground sights enemy plane when it is directly overhead and fires a shell with a muzzle speed of 600ms^(-1) .At what angle with the vertical should the gun be fired so as to hit the plane?

At what angle with the horizontal should a ball be thrown so that the range R is related to the time of flight as R = 5 T^2 ? (Take g = 10 ms^(-2)) .

An enemy air plane is flying horizontally at an altitude of 2.7km with a speed of 250ms^(-1) .An army man on the ground observed it when it is directly over his head.He fired an anti-aircraft gun with a muzzle speed of 500ms^(-1) ,such that the shell hits the plane.At what angle with the horizontal,gun should be fired?

A bomb is flying horizontally at a heitht of 2000 m with a speed of 200 ms^(-1) . When a bomb is relesed from it . Find (i) the time taken by bomb to resch the ground(ii) the velocity with which the bomb hits the target and the distance of the target and the distance of the target from where the bomb is dropped. Take g=10 m//s^(-2) .

An aeroplane moving horizontally at a speed of 200 m//s and at a height of 8.0 xx 10^(3)m is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released

A fighter plane flying horizontally at an altitude of 2km with speed of 540 kmph passes directly over head an anti aircraft gun.If the gun can fire a bullet at the muzzle speed of 500ms^( - 1) ,at what angle with the vertical the gun should fire the bullet so that the bullet hits the plane?