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2 years ago

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An airplane maintains a speed of 585 km/h relative to the air it is flying through as it makes a trip to a city 815 km away to t

he north. (a) What time interval is required for the trip if the plane flies through a headwind blowing at 32.1 km/h toward the south? 1.47 Correct: Your answer is correct. h (b) What time interval is required if there is a tailwind with the same speed?

1 answer:

navik [9.2K]2 years ago

4 0

Answer:

a) t = 1.47 h b) t = 1.32 h

Explanation:

a) In this problem the plane and the wind are in the same North-South direction, whereby the vector sum is reduced to the scalar sum (ordinary). Let's calculate the total speed

v = $v_{f}$ f - $v_{w}$

v = 585 -32.1

v = 552.9 km / h

We use the speed ratio in uniform motion

v = x / t

t = x / v

t = 815 /552.9

t = 1.47 h

b) We repeat the calculation, but this time the wind is going in the direction of the plane

v= $v_{f}$ f - $v_{w}$

v 585 + 32.1

v = 617.1 km / h

t = 815 /617.1

t = 1.32 h

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