A flat rectangular barge,48m long and 20m wide, is headed directly across a stream at 4.5 km/h. The stream flows at 3.8 km/h. What is the Velocity, relative to the riverbed, of a person walking diagonally across the barge at 5km/h while facing the opposite upstream bank?
Hi Guys, having some trouble with this one would really appreciate some help.
Attempted solution-
Split the figures into three vectors being-
a (3.8,0)
b (0,4.5)
c 5v/|v| relative to the barge, where v=(48,20)
= sqrt 48^2 + 20^2= sqrt 2704= 52
=52/(48,20)
= (48/52,20/52)
= (12/13,5/13)
= 5 (12/13,5/13)
=(60/13,25/13)
(3.8+60/13,4.5 + 25/13)
=(8.4,6.4)
^ and thats as far as i have got
Hi Guys, having some trouble with this one would really appreciate some help.
Attempted solution-
Split the figures into three vectors being-
a (3.8,0)
b (0,4.5)
c 5v/|v| relative to the barge, where v=(48,20)
= sqrt 48^2 + 20^2= sqrt 2704= 52
=52/(48,20)
= (48/52,20/52)
= (12/13,5/13)
= 5 (12/13,5/13)
=(60/13,25/13)
(3.8+60/13,4.5 + 25/13)
=(8.4,6.4)
^ and thats as far as i have got
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