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Q3. A certain airplane has a speed of204 km/h. It is diving at an angle of 28 0

ID: 1743256 • Letter: Q

Question

Q3. A certain airplane has a speed of204 km/h. It is diving at an angle of 280 below thehorizontal when the pilot releases a rescue capsule toward a pointdirectly over a victim. At the time of the release, the height ofthe airplane is 900 m.
(a). What is the horizontal distance between the release point andthe point where the capsule strikes the ground.
(b). How long is the capsule in the air? Q3. A certain airplane has a speed of204 km/h. It is diving at an angle of 280 below thehorizontal when the pilot releases a rescue capsule toward a pointdirectly over a victim. At the time of the release, the height ofthe airplane is 900 m.
(a). What is the horizontal distance between the release point andthe point where the capsule strikes the ground.
(b). How long is the capsule in the air?

Explanation / Answer

A certain airplane has a speed of 204 km/h. It is diving at anangle of 280 below the horizontal when the pilotreleases a rescue capsule toward a point directly over a victim. Atthe time of the release, the height of the airplane is 900 m. (a). What is the horizontal distance between the release point andthe point where the capsule strikes the ground. (b). How long is the capsule in the air? a)horizontal distance=horizontalvelocity*time=204*5/18*cos28*11.1=555.37m b) vertical velocity=204*5/18*sin28=26.603m/sec distance =900m g=9.8m/sec2 using 900=26.603t+1/2gt*t t= 11.1sec