A private airplane left the airportb at 1pm with speed 150 mph and its direction

Question

A private airplane left the airportb at 1pm with speed 150 mph and its direction was 30 degrees east of north. At 3pm, the airplane reached point A and then changed its speed to 100 mph heading west. At 7pm, it reached point B. The pilot decided to change its direction to 20 degrees east of south, without changing its speed. At 9pm, the plane reached point c, Use OA = axi + ayj to represent the displacement of the plane from 1pm to 3pm. Use AB = bxi + byj to represent the displacement of the plane from 3pm to 7pm. Use BC =cxi + cyj to represent the displacement of the plane from 7pm to 9pm. Use OC =dxi + dyj to represent the position of the plane at 9pm, i.e., the displacement from 1pm to 9pm, measured from the airport. Fill the table below numerically, then give the result on the graph paper on a graph paper. Take east as positive X-direction, and North as positive Y-direction.

X- Y- Magnitude Direction

component component(Distance) (teta from + X axis)

OA ax = ay = ? xxxx

ABbx =by = 0.0?xxxx

BCcx =cy =xxxx

OC dxdy =

Explanation / Answer

oa=150i+260j

ab=-400i

bc=68.40i-187.9j

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