A 19 kg weight is attached to a spring with constant k = 475 kg/m and subjected to an external force F ( t ) = 1197 sin ( 2 t ) . The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y ( t ) measured positive upwards.

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The boat's velocity relative to the riverbank can be resolved into two components. the component going north is 2.7 m/s and the component going west is 1.2 m/s.we add these two vectors and then find the magnitude of the resultant to get the speed.the magnitude of the resultant vector from adding can be obtained by the pythagorean theorem.    to two significant figures, the boat's speed relative to the riverbank is 3.0 m/s.