Hi, I need some help with the following questions. Please let me know how to slo

Question

Hi, I need some help with the following questions. Please let me know how to slove them, thank you.

Q6. An airplane flies with an air velocity of 750 km/h [N] originally. If the wind velocity is 160 km/h [30o E of N], what is the plane's net velocity? Q7. An airplane wants to fly west exactly because the airport runway direction is perfect west. Its own speed is 50 m/s and there is a 20 m/s wind blowing north. In what direction must the pilot head the plane so that the airplane can land safely? Find the net velocity of the plane too Q8. During the First World War, suppose the warship (on the left) was firing shells to a high-speed destroyer (on the right) that was 560 m away, with an initial velocity of 86 m/s. The launching angle is 60° to the horizontal. Ignore the width/length of both ships as well the air friction. Find the range of the landed shells. Is the destroyer within the shells' range?

Explanation / Answer

6.

Va= 750 j

Vw= 160 cos 30 j + 160 sin 30 i

Net velocity

V= Va+ Vw= 80 i + 888.564 j

Magnitude of final velocity

|V| = (888.564^2+80^2)^0.5

=892.16 km/hr

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