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At a certain instant, the car is 9 meters from the intersection.
What is the rate of change of the distance between the car and the person at that instant (in meters per second)?

At a certain instant, the car is $9$ meters from the intersection. $\newline$ What is the rate of change of the distance between the car and the person at that instant (in meters per second)? $\newline$

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Rate of travel: word problems

Full solution

Q. At a certain instant, the car is

9

meters from the intersection.

\newline

What is the rate of change of the distance between the car and the person at that instant (in meters per second)?

\newline

Calculate rate of change: Calculate the rate of change of distance between the car and the intersection. Assume the car moves at $20$ meters per second towards the intersection. $\newline$ Rate of change = $-20$ m/s (negative because the distance is decreasing).
Rate of change at intersection: Since the person is at the intersection, the rate of change of the distance between the car and the person is the same as the rate of change of the distance between the car and the intersection.

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