A river 500 ft wide flows with a speed of 8 ft/s with respect to the earth. A woman swims with a speed of 4 ft/s with respect to the water.

1)If the woman heads directly across the river, how far downstream is she swept when she reaches the opposite bank?
d1 =

2)If she wants to be swept a smaller distance downstream, she heads a bit upstream. Suppose she orients her body in the water at an angle of 37° upstream (where 0° means heading straight accross, as in part (a)), how far downstream is she swept before reaching the opposite bank?
d2 =

3)For the conditions of part (b), how long does it take for her to reach the opposite bank?
t =