At point A, the slope of the curve is (8; 10,000; -2.500; -2.5; 10; 8,000) which

Question

At point A, the slope of the curve is (8; 10,000; -2.500; -2.5; 10; 8,000) which means that the plane is (ascending, descending) at a rate of (-2,500; 8,000; -2.5; 2,500; 8; 10; 10,000) feet per minute.

At point B, the slope of the blue curve is (-5,000; 10; 4,000; -5; 4; 10,000) which means that the plane is (ascending, descending) at a rate of (10,000; -5,000; 5,000; 10; 4; -5; 4,000) feet per minute.

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. 40 35 30 25 20 O 15 10 9 1 TIME (Minutes) The slope of the blue curve measures the plane's rate of descent . The unit of measurement for the slope of the curve is feet per minute At point A, the slope of the curve is rate of analysis.) which means that the plane iS at a feet per minute. (Hint: Calculating the slope, pay extra attention to the units of At point B, the slope of the blue curve is a rate of analysis.) which means that the plane is at feet per minute. (Hint: Calculating the slope, pay extra attention to the units of

Explanation / Answer

Answer

Take 2 points on a line passing through Point A and tangent to the blue curve. We can see from the Graph that the 2 point are (4,30) and (2,35) Hence Slope = (35 - 30)/ (2 - 4) = -5/2 = -2.5. Now Note that y axis represents measurements in thousands and X axis represents measurements in Minutes. Hence Slope = -2.5 thousand per minute = -2500. As slope is negative it means that it is descending and we can see from the slope that rate is 2500 feet per minute.

Hence At point A, the slope of the curve is -2.500 which means that the plane is descending at a rate of 2,500 feet per minute.

Similarly as above,

Take 2 points on a line passing through Point B and tengent to blue Curve. We can see from the Graph that the 2 point are (9,0) and (7,10) Hence Slope = (10 - 0)/ (7 - 9) = -10/2 = -5. Now Note that y axis represents measurements in thousands and X axis represents measurements in Minutes. Hence Slope = -5 thousand per minute = -5000. As slope is negative it means that it is descending and we can see from the slope that rate is 5000 feet per minute.

Hence At point B, the slope of the curve is -5000 which means that the plane is descending at a rate of 5000 feet per minute.

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