An airplane flies a straight course due east from city M to

An airplane flies a straight course due east from city M to city N, 644 km away. The plane has an airspeed of 290 km/h. A crosswind blows due south at 97 km/h. In what direction must the plane be headed, and how long will the trip take in hours? Write the necessary vector equation using subscripts P for plane and A for air. Lay out the vectors using a scale of 1 mm = 4 km/h and scale off results.

Solution

Vplane-air = 290i

Vplane +Vair= 290i

290i = Vplane -97j

Vplane = 290i + 97j

Vplane = 305.79 km/hr

time taken = (644/305.79)

= 2.106 hr