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Gre4nikov [31]
4 years ago
14

How far east will the plane travel in 1 hour?

Physics
1 answer:
MaRussiya [10]4 years ago
3 0
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. 
<span>Vpa = Vp - Va </span>
<span>Vp = Vpa + Va [all these quantities are vectors] </span>
<span>so by parallelogram law of vector addition </span>
<span>Vp = (Va^2 + Vpa^2 + 2*Va*Vpa*cos120)^(1/2) </span>
<span>Vp^2 = 33^2 + 140^2 - 33*140 </span>
<span>Vp^2 = 16096 </span>
<span>Vp = 126.763m/s </span>
<span>(2) tan b = (33*sin120)/(140+33/2) </span>
<span>b = 10.34 degrees North of East </span>
<span>(3) component of velocity of plane in east = Vp cos(10.34) = 126.763*1 = 126.7m/s </span>
<span>distance travelled by plane in east = 126.7 * 60*60=456120 m</span>
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