An airplane maintains a speed of 645 km/h relative to the air it is flying through as it makes a trip to a city 724 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 h(b) what time interval is required if there is a tailwind with the same h(c) what time interval is required if there is a crosswind blowing at 32.1 km/h to the east relative to the

(a) 1.18 h

(b) 1.07 h

(c) 1.124 h

Solution:

As per the question:

Speed of the airplane,

Speed of the wind,  

Distance, d = 724 km

Now,

(a) To calculate time taken for the trip when the wind blows towards south:

The plane flies towards North and the wind blows towards South.

Thus the velocity of the airplane is given by:

Thus the time taken, t =

t = 1.18 h

(b) To calculate the time interval in case of the tailwind:

Now, the direction of the wind and the plane is same:

Velocity of the plane,

Time interval, t' =

(c) To calculate the time interval in case of a crosswind:

Time taken, t" =

force tends to be low and long diustance masses are high