Two highways intersect as shown in the figure. At the instant shown, a police ca

Question

Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dP = 880 m from the intersection and moving at speed vP = 88 km/h. Motorist M is distancedM = 440 m from the intersection and moving at speed vM = 44 km/h. What are the (a) x-component and (b) y-component of the velocity of the motorist with respect to the police car?(c) For the instant shown in the figure, what is the angle between the velocity found in (a) and (b) and the line of sight between the two cars?

answer should be like this:

(a) number ________ unit ______

(b) number ________ unit ______

(c) number ________ unit ______

Explanation / Answer

Vx=Vcos(/) Vy=Vsin(/) V-> = (Vx)i + (Vy)j V = (Vx^2 = vy^2)^1/2 (/) = tan^-1 (Vy/Vx) Okay, so I got the first part of the problem right. Vx=70km/hr Vy=-51 km/h

(c)
The angle of the line of sight with -ve x-axis
= arctan (590/710) = 39.73

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