464. assignment (vector algebra-motion)

Problem 2: Captain Jack Sparrow has been marooned on an island in the Atlantic by his crew and decides to build a raft to escape.

The wind seems quite steady, and first blows him due east for 16 km, and then 7 km in a direction 5.5 degrees north of east.

Part (a) How far east in kilometers, has the wind blown Jack?

Numeric : A numeric value is expected and not an expression.

dE=

  

Part (b) How far north, in kilometers, has Jack been blown?

Numeric: A numeric value is expected and not an expression.

dN=

  

Part (c) Confident that he will eventually find himself in Spain, Jack falls asleep. When he wakes up, he notices the wind is blowing him gently 11 degrees south of east - but after traveling for 24 km, he finds himself back on the island where he started! How far, in kilometers, did the wind blow him while he was sleeping? Numeric : A numeric value is expected and not an expression.

|r|=

 

Part (d) Assuming the wind blew the same direction all night, what direction, in degrees north of west, did the wind blow Jack during the night?

Numeric : A numeric value is expected and not an expression.

Theta-r=

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