An airplane maintains a speed of 567 km/h relative to the air it is flying through as it makes a tripto a city 780 km away to the north a) what time interval is rquired for the trip if the plane flies through a headwind blowing at 33.0 km/h toawrd the south? b) what time interval is required if theres a tailwind with same speed? c) what time interval required if there is a crosswind blowing at 33 km/h to the east relative to the ground?

Question

Physics

Yamilet Shaw

16 July, 17:44

An airplane maintains a speed of 567 km/h relative to the air it is flying through as it makes a tripto a city 780 km away to the north a) what time interval is rquired for the trip if the plane flies through a headwind blowing at 33.0 km/h toawrd the south? b) what time interval is required if theres a tailwind with same speed? c) what time interval required if there is a crosswind blowing at 33 km/h to the east relative to the ground?

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Paulina Faulkner · Answer 1

A) v = 567 - 33 = 534 km/h

v = d / t ⇒ t = d / v

t = 780 km / 534 km/h = 1.46 h

b) v = 567 + 33 = 600 km/h

t = 780 km / 600 km/h = 1.3 h

c) v = (567² + 33²) ^ (1/2) = √320,400 = 566 km/h

t = 780 km / 566 km/h = 1.378 h