A boat can be rowed at $4\mathrm{.}90\frac{m}{s}(11\mathrm{.}0mph)$ in still water.

a$)$ What is the velocity of the boat relative to the shore if it is moving downstream in a river moving $2\mathrm{.}90\frac{m}{s}(6\mathrm{.}49mph)$ relative to the shore? Use the hat$(i)$ as the direction of flow of the river downstream. vec$(v{)}_{BS}=q,\frac{m}{s}$

b$)$ How much time is required to row $1,200m(0\mathrm{.}746mi)$ downstream?

$t=B$

c$)$ How much time is required for the return trip?

$t=s$

d$)$ Suppose the river is $450$hat$(j)m(0\mathrm{.}280$hat$(j)mi)$ wide and the boat was aimed to row straight across the river along the hat$(j)$ direction. That is a person on the shore would see the boat is moving straight along the hat$(j)$ direction. What is the the velocity of the boat with respect to the shore?

vec$(v{)}_{BS}=,$hat$(j)\frac{m}{s}$

e$)$ How much time is required to get to the opposite shore then?

$t=s$

f$)$ At what angle relative to the direction of flow of the river should the boat be aimed?

$=$