A sport car (S) is traveling west at 110 km/h. At an intersection 25 km ahead, a truck (T) is traveling north at 75 km/h. (i) Write the position vector of the truck relative to the sport car rsr in terms of the unit vectors i and j. (ii) How long after this moment will the sport car and the truck be closest to each other? (iii) How far apart will they be at that point?

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5. A sport car (S) is traveling west at 110 km/h. At an intersection 25 km ahead, a truck
(T) is traveling north at 75 km/h. (i) Write the position vector of the truck relative to
the sport car rsr in terms of the unit vectors i and Ĵ. (ii) How long after this moment
will the sport car and the truck be closest to each other? (iii) How far apart will they be
at that point?
Transcribed Image Text:5. A sport car (S) is traveling west at 110 km/h. At an intersection 25 km ahead, a truck (T) is traveling north at 75 km/h. (i) Write the position vector of the truck relative to the sport car rsr in terms of the unit vectors i and Ĵ. (ii) How long after this moment will the sport car and the truck be closest to each other? (iii) How far apart will they be at that point?
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