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 3.40 m/s, but from Pauli's point of view, Newton appears to be moving at 1.10 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.

x-component:

m/s

y-component:

m/s

Express your answer as a magnitude and an angle measured counter‑clockwise from due East.

magnitude & direction:   at a angle

° counter-clockwise from due East

Answer 1