Question

The blue curve on the following graph shows the height of an airplane over 10 minutes of flight. The two black lines are tangent to the curve at the points indicated by A and B. 

The slope of the blue curve measures the plane's _______ . The unit of measurement for the slope of the curve is _______ .

At point A, the slope of the curve is  _______, which means that the plane is _______  at a rate of _______  feet per minute. (Hint:  Calculating the slope, pay extra attention to the units of analysis.)

At point B, the slope of the blue curve is _______  which means that the plane is _______  at a rate of _______  feet per minute. (Hint: Calculating the slope, pay extra attention to the units of analysis.)

Answer 1

The slope of the blue curve measures the planes rate of ascent. The unit of measurement for the slope of the curve is Feet per minute.

At point A, the slope of the curve is 2,500, which means the plane is ascending at a rate of 2,500 feet per minute.

Calculation of Slope. Select two points on the curve. Point A, Height = 5,000 feet, Time = 3 minutes, and assume other point where Height = 0, Time 1 minute.

Slope = (5,000 - 0) /(3 - 1) = 5,000 / 2 = 2,500 feet per minute

At point B, the slope of the curve is 5,000, which means the plane is ascending at a rate of 5,000 feet per minute.

Calculation of Slope. Select two points on the curve. Point B, Height = 25,000 feet, Time = 8 minutes, and assume other point where Height = 30,000, Time 9 minute.

Slope = (30,000 - 25,000) /(9 - 8) = 5,000 / 1 = 5,000 feet per minute.

You have not provided the value from drop down so I have answered on the basis of concept. If having any doubt please contact. Your help mean a lot to me, please help. Thank you.

Answer 2

Ans 1)

The slope of the blue curve measures the plane's is "ascending"

(As you see slope is increasing at each point)

Ans 2)

Unit of measurement is feet per minute

Ans 3)

Formula for slope is (y2-y1)/(x2-x1)

Therefore slope is =(10-0)thousands/(5-1)=2500

Ans 4)

Slope is ascending

Ans 5)

2500 feet per minute

Ans 6)

At point

Slope of Blue curve

(30-20) thousands/(9-7)=5000

Ans 7)

Ascending

Ans 8)

At the rate 5000 feet per minute