20 October, 10:21
How far east will the plane travel in 1 hour?
20 October, 11:31
Let Vpa be the velocity of plane with respect to air and Vp and Va be the velocities of plane and air respectively with respect to ground.
Vpa = Vp - Va
Vp = Vpa + Va [all these quantities are vectors]
so by parallelogram law of vector addition
Vp = (Va^2 + Vpa^2 + 2*Va*Vpa*cos120) ^ (1/2)
Vp^2 = 33^2 + 140^2 - 33*140
Vp^2 = 16096
Vp = 126.763m/s
(2) tan b = (33*sin120) / (140+33/2)
b = 10.34 degrees North of East
(3) component of velocity of plane in east = Vp cos (10.34) = 126.763*1 = 126.7m/s
distance travelled by plane in east = 126.7 * 60*60=456120 m
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