Two cars approach a street corner at right angles to each other (as show in the

Question

Two cars approach a street corner at right angles to each other (as show in the figure). Car 1 travels at 35 km/h and car 2 at 45 km/h. Assume that car 1 is moving in positive direction along axis y and car 2 is moving in positive direction along axis x. Express answers in terms of unit vectors i and j

Part A: What is the relative velocity of car 1 as seen by car 2?

Part B: What is the velocity of car 2 relative to car 1?

Two cars approach a street corner at right angles to each other (as show in the figure). Car 1 travels at 35 km/h and car 2 at 45 km/h. Assume that car 1 is moving in positive direction along axis y and car 2 is moving in positive direction along axis x. Express answers in terms of unit vectors i and j What is the relative velocity of car 1 as seen by car 2? What is the velocity of car 2 relative to car 1?

Explanation / Answer

A. V12 = V1 - V2 = 35j - 45i

magnitude = 57 km/h

direction = tan-1(35/45) =37.87 north of west

B. V21 = V2 - V1 = 45i - 35j  

magnitude = 57 km/h

direction = 37.87 south of east

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