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Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to

ID: 1366009 • Letter: D

Question

Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to a field and lets them loose to exercise. Both dogs sprint away in different directions, while Daniel stands still. From Daniel's point of view, Newton runs due North at 3.90 m/s, but from Pauli's point of view, Newton appears to be moving at 1.70 m/s due East. What must Pauli's velocity relative to Daniel be for this to be true? Express your answer in terms of the x and y components if North is the +y-direction and East is the +x-direction, and then express your answer as a magnitude and an angle measured counter-clockwise from due East. x component: -1.70 m/s y component: 3.90 m/s Magnitude & dDirection: 4.25 m/s @ 1.13 degree counter-clockwise from due east.

Explanation / Answer

113.55 degree