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(Solved): Two ships A and B are moving with constant speeds v_(A)=21(m)/(s) and v_(B)=12(m)/(s), respectively, ...
Two ships
Aand
Bare moving with constant speeds
v_(A)=21(m)/(s)and
v_(B)=12(m)/(s), respectively, along straight intersecting courses. The navigator of ship B notes the time rates of change of the separation distance
rbetween the ships and the bearing angle
\theta . If
r=119mand
\theta =117\deg , what does the navigator measure for
vec(r),r^(¨),\theta ^(?)and
\theta ^(¨)? Check that
r^(¨)-rvec(\theta )^(2)=0and
vec(r)\theta ^(¨) 2r^(?)\theta ^(?)=0.
?Answers:
r=f
r=4s^(2)
\theta =r^(2)ra(d)/(s)
\theta =2rads^(2)