Therefore, the unit of the slope is most appropriately
feet per minute
.
At point A, the slope of the curve is
2,500
, which means that the plane is
ascending
at a rate of
2,500
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
6,666.67
, which means that the plane is
ascending
at a rate of
6,666.67
feet per minute.
(
Hint
: Calculating the slope, pay extra attention to the units of analysis.)
Explanation:
Because the blue curve is upward sloping at both point A and point B, the plane is
ascending
in both cases. Note that the slopes of the blue
curve at points A and B are positive.
0
1
2
3
4
5
6
7
8
9
10
40
35
30
25
20
15
10
5
0
ALTITUDE (Thousands of feet)
TIME (Minutes)
A
B
Session
Timeout
59:46

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The absolute value of the slope of the blue curve gives you the rate at which the plane is ascending. At point A, the blue curve is tangent to the
black line. That means the slope of the blue curve is equal to the slope of the black line at point A. Because the black line passes through the
points (1, 0) and (5, 10), you can calculate its slope as follows:
At point A, the slope of the blue curve is 2,500, which means that the plane is ascending at the rate of 2,500 feet per minute.
Similarly, at point B, the blue curve is tangent to the black line that passes through the points (7.25, 20) and (8.75, 30). You can calculate its
slope as follows:
At point B, the slope of the blue curve is 6,666.67, which means that the plane is ascending at the rate of 6,666.67 feet per minute.
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Session
Timeout
59:46