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A Car Leaves an Intersection Traveling West 4sec4 \mathrm { sec }

question 6

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A car leaves an intersection traveling west. Its position 4sec4 \mathrm { sec } later is 26ft26 \mathrm { ft } from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4sec4 \mathrm { sec } later is 26ft26 \mathrm { ft } from the intersection. If the speeds of the cars at that instant of time are 12ft/sec12 \mathrm { ft } / \mathrm { sec } and 10 ft/sec\mathrm { ft } / \mathrm { sec } , respectively, find the rate at which the distance between the two cars is changing. Round to the nearest tenth if necessary.


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