Danial takes his two dogs, Pauli the pointer and Newton the newfoundland, out to

Question

Danial 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 direction, while Daniel stands still. From Daniels point of view, newton runs due north at 3.65m/s, but from Pauli's point of view, Newton appears to be moving at 1.50 m/s due East. What must Pauli's velocity relative to Daniel be for this to be true? Express your answer in unit vector notation 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

Unit vector notation (____ m/s)i + (_____m/s)j and magnitude and direction ___m/s @ ___ degrees counter-clockwises from due east

Explanation / Answer

Vnd = 3.65j .........

w r t pauli Vnp = 1.5i .......................

Vpd = Vpn+Vng = -1.5i+3.65j...............

magnitude Vpg = sqrt(1.5^2+3.65^2) = 15.5725 m/s ................

directin = tan^-1(-3.65/1.5 ) = 67.66

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