Question #183655

1.Car A rounds a curve of 129-m radius at a constant speed of 42 km/h. At the instant represented, car B is moving at 83 km/h but is slowing down at the rate of 4.9 m/s2. Determine the velocity and acceleration of car A as observed from car B.


vA/B =( _ i + _j) m/s

aA/B =( _i + _j) m/s2


2.The jet transport B is flying north with a velocity vB = 505 km/h when a smaller aircraft A passes underneath the transport headed in the 68° direction shown. To passengers in B, however, A appears to be flying sideways and moving east. Determine the magnitudes of the actual velocity of A and the velocity which A appears to have relative to B.


Aircraft A is going in northeast direction


vA = _ km/h

vA/B =  _ km/h


1
Expert's answer
2021-04-22T07:27:53-0400

1)

vA/B=833.6i+4.91293.642j=23.056i+54.180j,v_{A/B}=\frac{83}{3.6}\vec i+\frac{4.9\cdot 129\cdot 3.6}{42}\vec j=23.056\vec i+54.180\vec j,

aA/B=83423.63.6129i+4.9j=2.085i+4.900j.a_{A/B}=\frac{83\cdot 42}{3.6\cdot 3.6\cdot 129}\vec i+4.9\vec j=2.085\vec i+4.900\vec j.

2)

vA=vBcos68°=1348.081 kmh,v_A=\frac{v_B}{\cos 68°}=1348.081~\frac{km}{h},

vA/B=vBtan68°=1249.919 kmh.v_{A/B}=v_B\tan 68°=1249.919~\frac{km}{h}.


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