A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.

How fast is the distance from the observer to the car increasing when the car passes in front of the observer

Question

Mathematics

Halle Dillon

25 July, 05:05

A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.

How fast is the distance from the observer to the car increasing when the car passes in front of the observer

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Answers (1)

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Peter Yang · Answer 1

Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car and the observer.

(a) Before the car passes the observer, we have dh/dt 0. So at the instant it passes the observer we have dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.

A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.How fast is the distance from the observer to the car increasing when the car passes in front of the observer

A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.

How fast is the distance from the observer to the car increasing when the car passes in front of the observer