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 thrown upward from a height of 6.5 feet at a velocity of 72 feet per second. t 1 = 0 , t 2 = 4
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 thrown upward from a height of 6.5 feet at a velocity of 72 feet per second. t 1 = 0 , t 2 = 4
Solution Summary: The author calculates the situation for the position function s=-16t2+v_0
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 thrown upward from a height of
6.5
feet at a velocity of
72
feet per second.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Chapter 2 Solutions
College Algebra Real Mathematics Real People Edition 7
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