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Babynini
 one year ago
A river is flowing due east at 8 mi/hr. A man heads his motorboat in the direction N30E in the river. the speed of the motorboat relative to the water is 12mi/hr
a)express the true velocity of the motorboat as a vector
b) find the true speed and direction of the motor boat.
Babynini
 one year ago
A river is flowing due east at 8 mi/hr. A man heads his motorboat in the direction N30E in the river. the speed of the motorboat relative to the water is 12mi/hr a)express the true velocity of the motorboat as a vector b) find the true speed and direction of the motor boat.

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Babynini
 one year ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 whenever you're free, please! :)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434672450418:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2Draw in a parallelogram dw:1434672391987:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2this vector, ie the resultant vector, is the boat's true path dw:1434672449672:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1and the resultant is w = u + v right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what is the vector component form for the vector pointing directly east (the river current)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2that's pointing north though

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1oops sorry v= 8i + 0j

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2what is the boat's vector (ignore the current) ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2hint: dw:1434672891389:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2z = x*i + y*j x = r*cos(theta) y = r*sin(theta) theta = 60 degrees r = 12

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2or y = 6*sqrt(3)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2so that's the boat's vector <6, 6*sqrt(3)>

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434673336710:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434673363432:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1so is it = <14, 6 sq3>

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yes, that's u+v

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2which is also the true velocity vector of the boat

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2true speed = u+v true direction = direction of vector u+v

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.24*sqrt(19) is the magnitude of u+v so it is the true speed

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1o right. Direction: (theta) = arctan( (6sq3)/14)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1but if we want to find it from x it would be that subtracted from 180 correct?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2yeah I'm getting theta = 36.58677555 so 90  theta = 90  36.58677555 = 53.41322445

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1a) velocity of motorboat: <14, 6*sq3> b) Speed: 17.44 Direction: N53.4E

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2everything looks good
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