Physics In Exercises 67-70, (a) use the position equation s = − 16 t 2 + v 0 t + s 0 to write a function that represents the situation, (b) use a graphing utility to graph the function, (c) find the average rate of change of the function from t 1 to t 2 , (d) describe the slope of the secant line through t 1 and t 2 , (e) find the equation of the secant line through t 1 and t 2 , and (f) graph the secant line in the same viewing window as your position function. An object is dropped from a height of 80 feet. t 1 = 1 , t 2 = 2
Physics In Exercises 67-70, (a) use the position equation s = − 16 t 2 + v 0 t + s 0 to write a function that represents the situation, (b) use a graphing utility to graph the function, (c) find the average rate of change of the function from t 1 to t 2 , (d) describe the slope of the secant line through t 1 and t 2 , (e) find the equation of the secant line through t 1 and t 2 , and (f) graph the secant line in the same viewing window as your position function. An object is dropped from a height of 80 feet. t 1 = 1 , t 2 = 2
Physics In Exercises 67-70, (a) use the position equation
s
=
−
16
t
2
+
v
0
t
+
s
0
to write a function that represents the situation, (b) use a graphing utility to graph the function, (c) find the average rate of change of the function from
t
1
to
t
2
, (d) describe the slope of the secant line through
t
1
and
t
2
,
(e) find the equation of the secant line through
t
1
and
t
2
,
and (f) graph the secant line in the same viewing window as your position function.
U.S. Airplane Passenger Projections
In a report issued by the U.S. Department of Transportation in 2012, it was predicted that the number of passengers boarding planes in the United States would grow steadily from the current 0.7 billion boardings/year to 1.2 billion boardings/year in 2032.
Find a linear function f giving the projected boardings (in billions) in year t , where t =0 corresponds to 2012.
What is the projected annual rate of growth of boardings between 2012 and 2032?
How many boardings per year are projected for 2022?
A bicycle is classified by the diameter of its tires. For example, a 20-inch bicycle has tires that are 20 inches in diameter. The number of times a bicycle tire rotates in a given period of time is directly related to the distance traveled in that period of time. A 26-inch bicycle is pedaled so that the tires rotate at a rate of 200 revolutions per minute. A 20-inch bicycle is pedaled so that its tires rotate at a rate of 200 revolutions per minute, as well. How many complete rotations does either bike complete in one second? Answer in a complete sentence.
A bicycle is classified by the diameter of its tires. For example, a 20-inch bicycle has tires that are 20 inches in diameter. The number of times a bicycle tire rotates in a given period of time is directly related to the distance traveled in that period of time.
A 26-inch bicycle is pedaled so that the tires rotate at a rate of 200 revolutions per minute. A 20-inch bicycle is pedaled so that its tires rotate at a rate of 200 revolutions per minute, as well. What is the linear velocity of each bicycle? State your answers in inches per minute rounded to the nearest tenth.
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