3. An airplane flying horizontally at height 3 km with speed 120 km/h sees an oncoming...

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3. An airplane flying horizontally at height 3 km with speed 120 km/h sees an oncoming car. When the distance between the pla

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Answer 1

Answer #1

Let d be distance and h be the height

d/dt(d)=-160km/h

d=5km

d^2=3^2+h^2

2d*d/dt(d)=2h*dh/dt

h=√(25-9)=4

-2*5*160=2*4dh/dt

dh/dt=-200km/h

Speed of car=-200+120=80km/h(magnitude)

Answer 2

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