Question

A plane is flying to a city 816 km directly north of its initial location. The plane maintains a speed of 163 km/h relative to the air during its flight. (a) If the plane flies through a constant headwind blowing south at 58.5 km/h, how much time (in h) will it take to reach the city? h (b) If instead the plane flies through a constant tailwind blowing at 58.5 km/h, how much time (in h) will it take to reach the city? h (c) If instead the plane flies through a constant crosswind blowing east at 58.5 km/h, how much time (in h) will it take to reach the city? h

          A plane is flying to a city 816 km directly north of its initial location. The plane maintains a speed of 163 km/h relative to the air during its flight.

(a) If the plane flies through a constant headwind blowing south at 58.5 km/h, how much time (in h) will it take to reach the city?
h

(b) If instead the plane flies through a constant tailwind blowing at 58.5 km/h, how much time (in h) will it take to reach the city?
h

(c) If instead the plane flies through a constant crosswind blowing east at 58.5 km/h, how much time (in h) will it take to reach the city?
h
        
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A plane is flying to a city 816 km directly north of its initial location. The plane maintains a speed of 163 km/h relative to the air during its flight.

(a) If the plane flies through a constant headwind blowing south at 58.5 km/h, how much time (in h) will it take to reach the city?
h

(b) If instead the plane flies through a constant tailwind blowing at 58.5 km/h, how much time (in h) will it take to reach the city?
h

(c) If instead the plane flies through a constant crosswind blowing east at 58.5 km/h, how much time (in h) will it take to reach the city?
h

Added by Albert B.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A plane is flying to a city 816 km directly north of its initial location. The plane maintains a speed of 163 km/h relative to the air during its flight. (a) If the plane flies through a constant headwind blowing south at 58.5 km/h, how much time (in h) will it take to reach the city? (b) If instead the plane flies through a constant tailwind blowing at 58.5 km/h, how much time (in h) will it take to reach the city? (c) If instead the plane flies through a constant crosswind blowing east at 58.5 km/h, how much time (in h) will it take to reach the city?
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Transcript

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00:01 How much time will it take to reach the city for part a? now the time taken to reach the city, let's first find the speed of the plane relative to the ground.
00:09 That's our speed of our plane minus our 58 .5 kilometers per hour.
00:16 So 163 minus 58 .5 gives us 104 .5 kilometers per hour.
00:22 Then the time taken is our distance 816 kilometers divided by our 104 .5.
00:31 816 divided by 104 .5 gives us 7 .80 hours.
00:38 Now for b, if the plane flies with a constant wind blowing, how much time will it take to reach the city? now our speed, we're going to add these two values...
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