A bicycle rider traveling east at 10 km/hr sees a blue car pass her appearing to travel west at 50 km/hr. What is the blue car's apparent speed for an observer riding in a red car traveling 15 km/hr west relative to the Earth? g

Respuesta :

Answer:

[tex]v_{bR} = 25 km/h[/tex] towards west

Explanation:

As we know that the speed of the blue car as appear to the bicycle rider is given as

[tex]v_{bc} = 50 km/h[/tex] towards west

also it is given that bicycle is moving at speed of 10 km/h towards East

so here we have

[tex]v_{bc} = v_b - v_c[/tex]

so we have

[tex]v_b = v_{bc} + v_c[/tex]

[tex]v_b = -50 + 10 = 40 km/h[/tex] towards west

now speed of the red car is given as 15 km/h towards west

so here the relative speed of blue car with respect to red car is given as

[tex]v_{bR} = v_b - v_R[/tex]

[tex]v_{bR} = 40 - 15 = 25 km/h[/tex] towards west