Aplane flies horizontally at an altitude of 7 km and passes directly over a tracking telescope on the ground. when the angle of elevation is π/4, this angle is decreasing at a rate of π/4 rad/min. how fast is the plane traveling at that time?

The plane moving with velocity =

Explanation:

Let  be angle of elevation and x(t)be the horizontal displacement of the plane  from the tracking slope

We are given that a plane flies horizontally at an altitude of 7 Km and passes directly over a tracking telescope on the ground .

The angle of elevation is

The rate at which an angle of elevation decreasing =-rad/min

Differentiate w.r.t time

Then we get

The plane moving with velocity =

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)

higher potential

explanation:

because it is in a high speed so it must move into a of high potential