Problem 2: An object is lifted rapidly into the air at a constant speed and then released from midair. Its height h in feet after t seconds is recorded in the table t 0 1 2 3 4 5 6 7 height 0 36 72 108 144 128 80 0 a. At what time does it appear that the object was dropped? b. Determine the values of the constants a, b, and m so that the function f models the data. f(t) = Smt a(t-4)² +b if 0 ≤ t ≤ 4 if 4

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 2: An object is lifted rapidly into the air at a constant speed and then released from midair. Its height h
in feet after t seconds is recorded in the table
t
0 1 2 3 4 5 6 7
height 0 36 72 108 144 128 80 0
a. At what time does it appear that the object was dropped?
b. Determine the values of the constants a, b, and m so that the function f models the data.
f(t)
=
Smt
if 0 ≤ t ≤ 4
a(t-4)² +b if 4 <t≤7
c. Solve the equation f(x) = 100 and interpret your answer.
d. Graph the function and label all axes.
Page 1 of 2
Transcribed Image Text:Problem 2: An object is lifted rapidly into the air at a constant speed and then released from midair. Its height h in feet after t seconds is recorded in the table t 0 1 2 3 4 5 6 7 height 0 36 72 108 144 128 80 0 a. At what time does it appear that the object was dropped? b. Determine the values of the constants a, b, and m so that the function f models the data. f(t) = Smt if 0 ≤ t ≤ 4 a(t-4)² +b if 4 <t≤7 c. Solve the equation f(x) = 100 and interpret your answer. d. Graph the function and label all axes. Page 1 of 2
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