Question

A boat can travel 2.30 m/s in still water. part aIf the boat points its prow directly across a stream whose current is 1.60 m/s , what is the magnitude of the velocity of the boat relative to the shore?part bWhat is the angle of the velocity of the boat relative to the shore?part cWhat will be the position of the boat, relative to its point of origin, after 9.00 s ? Assume that the positive x and y axes are directed downstream and away from the shore, respectively.

Answer 1

Part A.

The total speed is the sum of the speeds.

`\begin{gathered} V=√(2.3^2+1.6^2) \\ V=2.8m/s \end{gathered}`

Part B

`\tan^(-1)(2.3)/(1.6)=55.18\degree`

Part C

y=2.3*9=20.7m

x=1.6*9=14.4m