#330 [1-D Relative Velocity/Reference Frames] Please add before part (a): In the reference frame of the river: (i) What is the bottle's displacement during each leg of the canoe's trip (up and downstream)? Why? (ii) How do the canoe's displacements up and downstream relative to the river compare? Why? (iii) So how must the times spent by the canoe on each leg of its trip compare? Why? How does this result allow you to find how fast the river is owing in (a)? Please add after part (b): (iv) What is the velocity of the canoe relative to the shore for each leg of its trip (up / downstream)? (v) Draw a diagram showing magnitudes (in km) and directions of the displacements relative to the shore of a tree on the shore (adjacent to where the bottle was originally dropped), the bottle, and the canoe during each leg of the canoe's trip. (v) Draw a diagram showing magnitudes (in km) and directions of the displacements relative to the river of the tree, the bottle, and canoe during each leg of its trip. [HINT: How can you check that your two diagrams are consistent?]