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4. A stone is thrown into the air from a bridge over a river. The stone falls into the river. The height h above the river, of the stone in meters, t seconds after it is thrown is given by: h = -12.3t2 + 7.5t + 22.1

4. A stone is thrown into the air from a bridge over a river. The stone falls into the river. The height h above the river, of the stone in meters, t seconds after it is thrown is given by: h = -12.3t2 + 7.5t + 22.1

Algebra and Trigonometry (6th Edition)
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 Statement:** **c.** When does the stone hit the river? Use the quadratic formula to solve. **Explanation:** To solve this problem, one needs to find the time at which the stone reaches the river. This involves using the quadratic formula, which is typically employed to find the roots of a quadratic equation of the form \(ax^2 + bx + c = 0\). The quadratic formula is: \[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a} \] Here, \(a\), \(b\), and \(c\) are coefficients of the quadratic equation derived from the motion equation of the stone, typically involving variables such as initial velocity, height, acceleration due to gravity, etc. Solving this equation will provide the time(s) at which the stone reaches the ground level (or the river, in this context).
Transcribed Image Text:**Problem Statement:** **c.** When does the stone hit the river? Use the quadratic formula to solve. **Explanation:** To solve this problem, one needs to find the time at which the stone reaches the river. This involves using the quadratic formula, which is typically employed to find the roots of a quadratic equation of the form \(ax^2 + bx + c = 0\). The quadratic formula is: \[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a} \] Here, \(a\), \(b\), and \(c\) are coefficients of the quadratic equation derived from the motion equation of the stone, typically involving variables such as initial velocity, height, acceleration due to gravity, etc. Solving this equation will provide the time(s) at which the stone reaches the ground level (or the river, in this context).
4. A stone is thrown into the air from a bridge over a river. The stone falls into the river. The height \( h \) above the river, of the stone in meters, \( t \) seconds after it is thrown is given by: \[ h = -12.3t^2 + 7.5t + 22.1 \]
Transcribed Image Text:4. A stone is thrown into the air from a bridge over a river. The stone falls into the river. The height \( h \) above the river, of the stone in meters, \( t \) seconds after it is thrown is given by: \[ h = -12.3t^2 + 7.5t + 22.1 \]
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