A ball is thrown straight upward. The graph shows the ball's height, s(t), in feet, after t seconds. s(t) 60 48 50 40 (1,40) 30 (3, 24) 20 10 1 Time (seconds) 2 3 4 5 a. Find the quadratic function s(t) = at? + bt + c whose graph passes through the three points labeled on the graph. Solve the system of linear equations involving a, b, and c using matrices. b. Find and interpret s(3.5). Identify your solution as a point on the graph shown. Height above Ground (feet)

A ball is thrown straight upward. The graph shows the ball's height, s(t), in feet, after t seconds. s(t) 60 48 50 40 (1,40) 30 (3, 24) 20 10 1 Time (seconds) 2 3 4 5 a. Find the quadratic function s(t) = at? + bt + c whose graph passes through the three points labeled on the graph. Solve the system of linear equations involving a, b, and c using matrices. b. Find and interpret s(3.5). Identify your solution as a point on the graph shown. Height above Ground (feet)

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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Question

A ball is thrown straight upward. The graph shows the ball's
height, s(t), in feet, after t seconds.
s(t)
60
48
50
40
(1,40)
30
(3, 24)
20
10
1
Time (seconds)
2
3
4
5
a. Find the quadratic function
s(t) = at? + bt + c
whose graph passes through the three points labeled on
the graph. Solve the system of linear equations involving
a, b, and c using matrices.
b. Find and interpret s(3.5). Identify your solution as a point
on the graph shown.
Height above Ground
(feet)

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