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Bear Can Swim at

They reach the

3m/s

East

side of the river.

The river is flowing

2m/s[North]

The river is

40m

wide.

It takes

16s

for the bear to cross it

What angle is the bear swimming?

What angle is the bear swimming?

What angle is the bear swimming?

2m/s[N]

40m

What we know so far:

v

b

w

= 3m/s

v

w

g

= 2m/s[N]

v

b

wx

= 3cosθ

θ

v

b

wy

= 3sinθ

v

w

gx

= 0

2m/s

3m/s

v

w

gy

= 2

d = 40m

40m

θ

3m/s

t = 16s

If it took him 16s to make 40m, and this 40m is a horizontal distance,

v

b

gx

= 40/16 [W]

= 2.5

N

E

S

W

v

b

gx

=

Remember subscript addition

v

b

wx

v

w

gx

2.5

=

  • 0

3cosθ

θ = 33.6

Conventions

Starting at when bear is East of river