Question

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 the 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?

Answer 1

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

Step-by-step 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