SOLUTION: At the moment when its altitude is 300 m, a plane is flying with a horizontal speed of 200km per hour and an unknown vertical speed. What is the minimum average vertical speed,in k

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Question 205628: At the moment when its altitude is 300 m, a plane is flying with a horizontal speed of 200km per hour and an unknown vertical speed. What is the minimum average vertical speed,in km/hr, required to avoid a 500 m tall mountain situated at a horizontal distance of 1km away from the plane?
(A)30 (B)40 (C)100 (D) 200 (E) None of these

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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At the moment when its altitude is 300 m, a plane is flying with a horizontal
speed of 200km per hour and an unknown vertical speed. What is the minimum
average vertical speed,in km/hr, required to avoid a 500 m tall mountain
situated at a horizontal distance of 1km away from the plane?
:
Plane required to gain 500 - 300 = 200 meters
:
Determine how many seconds the plane is from the mountain at a horizontal speed of 200 km/hr.
:
1%2F200 * 3600 = 18 sec
:
Find the vertical speed required to go up 200 meters, in km/hr
200%2F18 * 3600 * 1%2F1000 = 40 km/hr vertical speed (minimum)