A river is 0.3 km wide and flows south at a rate of 7 km/h. You start your trip on the river's west bank, 0.5 km north of the dock, as shown in the diagram at right.
a. If the dock is at the origin, (0, 0), what are the coordinates of the boat's starting location?
b. Write an equation for x in terms of t that models the boat's horizontal position if you aim the boat directly east traveling at 4 km/h.
c. Write an equation for y in terms of t that models the boat's vertical position, as a result of the flow of the river.
d. Enter the parametric equations from 5b and 5c into your calculator, determine a good viewing window and range of t-values, and make a graph to simulate this situation.
e. Determine when and where the boat meets the river's east bank. Does your boat arrive at the dock?
f. How far have you traveled?

Transcribed Image Text:

"ร์" 0.5 kn Dock