Two boats leave the port at the same time.Boat A has a velocity of (4î - 3ĵ)m/s and boat B has a velocity of (3î + 4ĵ)m/s as measured by someone standing at the port ( and are unit vectors along the x-axis and the y-axis respectively).What is the position vector of boat A as seen by a person travelling on boat B after 100 seconds has elapsed? Give your answer as magnitude and direction.
A)707.1 m and 81.87º
B)707.1 m and 261.87º
C)424.3 m and 188.13º
D)126.7 m and 88.26º
E)989.9 m and 312.87 $\circ$

Question

Two boats leave the port at the same time.Boat A has a velocity of  (4î - 3ĵ)m/s and boat B has a velocity of  (3î + 4ĵ)m/s as measured by someone standing at the port (  and  are unit vectors along the x-axis and the y-axis respectively).What is the position vector of boat A as seen by a person travelling on boat B after 100 seconds has elapsed? Give your answer as magnitude and direction.
A)707.1 m and 81.87º 
B)707.1 m and 261.87º 
C)424.3 m and 188.13º 
D)126.7 m and 88.26º 
E)989.9 m and 312.87 $\circ$

Quizplus · Accepted Answer

The Answer of Two boats leave the port at the same time.Boat A has a velocity of  (4î - 3ĵ)m/s and boat B has a velocity of  (3î + 4ĵ)m/s as measured by someone standing at the port (  and  are unit vectors along the x-axis and the y-axis respectively).What is the position vector of boat A as seen by a person travelling on boat B after 100 seconds has elapsed? Give your answer as magnitude and direction.
A)707.1 m and 81.87º 
B)707.1 m and 261.87º 
C)424.3 m and 188.13º 
D)126.7 m and 88.26º 
E)989.9 m and 312.87 $\circ$

Two Boats Leave the Port at the Same Time ∘\circ∘

Two Boats Leave the Port at the Same Time $\circ$