question archive Two cars are initially 1200 miles apart

Two cars are initially 1200 miles apart

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Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east while Car B starts driving at 55 mph to the north (see sketch below for this initial setup). At what rate is the distance between the two cars changing after (a) 2 hours of travel, (b) 20 hours of travel and (c) 40 hours of travel? Car A Initial Position Car B Initial Position 1200 miles 13. Repeat problem 12 above except for this problem assume that Car A starts traveling 4 hours after Car B starts traveling. For parts (a), (b) and (c) assume that these are travel times for Car B. 14. Two people are on a city block. See the sketch below for placement and distances. Person A is on the northeast corner and Person B is on the southwest corner. Person A starts walking towards the southeast corner at a rate of 3 ft/sec. Four seconds later Person B starts walking towards the southeast corner at a rate of 2 ft/sec. At what rate is the distance between them changing (a) 3 seconds after Person A starts walking and (b) after Person A has covered half the distance?

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