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

question 6

Short Answer

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

---

Definitions:

Natural Rate

Refers to the equilibrium rate of unemployment or interest where the economy is stable, without accelerating inflation.

Unemployment

The situation in which individuals who are capable of working and actively seeking work are unable to find employment.

Aggregate Supply

The complete range of goods and services that enterprises in an economy are prepared to sell over a predetermined period.

Foreign Exchange Market

A global marketplace for trading currencies, determining the exchange rate between them.