An airplane is flying at an elevation of 6 miles on a flight path that will take it directly over a radar tracking station. Let S represent the distance between the radar station and the plane. If S is decreasing at a rate of 400 mph when S is 10 miles, what is the velocity of the plane

Explanation:

h = Height at which the plane is flying = 6 miles

S = Distance between plane and radar = 10 miles

= Rate at which S is decreasing = -400 mph

Distance between S and and the elevation of the plane

From Pythagoras theorem we get

Differentiating with respect to time we get

Velocity of the plane is .

unbalanced force

explanation:

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.