Question

Someone posted a response to this earlier but I don't think theanswer was correct... Can someone please take the time to help mecarefully with this? Thanks!

A kayaker can paddle her kayak at a steady 2.5m/s in still water.She wishes to cross a river that is 2000m wide and has a current of-1.5m/s (goes from right to left along x axis). She is crossinggoing "north", along the positive y axis.

(a) IF the kayaker first "aims" her craft straight across theriver, the current will carry her downstream as she paddles across.What will be her actual velocity (magnitude and direction angle) asshe crosses? How long will it take her to cross the river?

(b) If she "aims" the kayak somewhat upstream, she can actuallytravel straight accross the river. In what direction must she aim?What is her actual speed accross the river for this situation, andhow long will it take her to cross?

HINT: The angle found in (a) will NOT be the same angle required inpart (b).

--- I have figured out (a) to be: a velocity of 2.92 m/s at121 degrees (CCW from x axis). I figured it would take 805s tocross (the distance she travels, or the hypotonuse of the triangle,is 2333.27m).

I really need help on part (b) though :(

Is that right? And could someone help me on (b) please? :)