A ball is tossed into the air so that the height after 1,31,3, and 66 seconds is as given in the following table. If the relationship between the height of the ball hh and the time tt is quadratic, then the relationship can be written as: h=at2+bt+ch=at2+bt+c Use the information in the table to write a system of three equations in three variables a,b,a,b, and cc. Solve the system to find the exact relationship between h and t t
A ball is tossed into the air so that the height after 1,31,3, and 66 seconds is as given in the following table. If the relationship between the height of the ball hh and the time tt is quadratic, then the relationship can be written as: h=at2+bt+ch=at2+bt+c Use the information in the table to write a system of three equations in three variables a,b,a,b, and cc. Solve the system to find the exact relationship between h and t t
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 62E
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A ball is tossed into the air so that the height after 1,31,3, and 66 seconds is as given in the following table. If the relationship between the height of the ball hh and the time tt is quadratic, then the relationship can be written as:
h=at2+bt+ch=at2+bt+c
Use the information in the table to write a system of three equations in three variables a,b,a,b, and cc. Solve the system to find the exact relationship between h and t
t | h |
1 | 240 |
3 | 240 |
6 | 0 |
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