Two boats leave the port at the same time. Boat A has a velocity of (-3t+ 2j) m/s and boat B has a velocity of (5i - 3) m/s as measured by someone standing at the port ( and j are unit vectors along the x-axis and the y-axis, respectively). a) What is the velocity of Boat B relative to Boat A? b) What is the position vector of Boat B as seen by a person travelling on Boat A after 30 seconds has elapsed? Give your answer as magnitude and direction.

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Chapter1: Units, Trigonometry. And Vectors
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7. Two boats leave the port at the same time. Boat A has a velocity of (-31+ 2j) m/s and boat B
has a velocity of (5i – 3j) m/s as measured by someone standing at the port (i and j are unit
vectors along the x-axis and the y-axis, respectively).
a) What is the velocity of Boat B relative to Boat A?
b) What is the position vector of Boat B as seen by a person travelling on Boat A after 30
seconds has elapsed? Give your answer as magnitude and direction.
Transcribed Image Text:7. Two boats leave the port at the same time. Boat A has a velocity of (-31+ 2j) m/s and boat B has a velocity of (5i – 3j) m/s as measured by someone standing at the port (i and j are unit vectors along the x-axis and the y-axis, respectively). a) What is the velocity of Boat B relative to Boat A? b) What is the position vector of Boat B as seen by a person travelling on Boat A after 30 seconds has elapsed? Give your answer as magnitude and direction.
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