This homework assignment must be neatly done. It must be done here or on loose-leaf paper. This will make sure that your work is well organized. I. Evaluating and graphing quadratics: William Tell shoots an arrow straight up into the air with an initial velocity of 160 feet per second. The height (in feet) of the arrow is indicated by the equation h =-16t2 + 160t, where t is the number of seconds the arrow is in the air. Find the height of the arrow for: a. t=0 b. t= 2 c. t= 5

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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# MAT 085 
## Weekly Activity 10
### Introduction to Quadratics

**Name:** ___________

This homework assignment must be neatly done. It must be done here or on loose-leaf paper. This will make sure that your work is well organized.

### I. Evaluating and Graphing Quadratics:

William Tell shoots an arrow straight up into the air with an initial velocity of 160 feet per second. The height (in feet) of the arrow is indicated by the equation:

\[ h = -16t^2 + 160t, \]

where \( t \) is the number of seconds the arrow is in the air. Find the height of the arrow for:

- a. \( t = 0 \)
- b. \( t = 2 \)
- c. \( t = 5 \)
- d. \( t = 8 \)
- e. \( t = 10 \)

**f.** According to the calculations above, when will the arrow reach its maximum height (vertex)?

**g.** According to the calculations above, when will the arrow hit the ground?

**h.** Graph the points obtained in a through e.

#### Graph Details:

A table is provided with columns labeled \( t \) and \( h \), along with a column for Ordered Pair \((t, h)\). The values for \( t \) are 0, 2, 5, 8, and 10. 

Next to the table, there is a coordinate plane set up for plotting \( t \) on the x-axis and \( h \) on the y-axis. The graph is intended to visually represent the points calculated from the equation for the specified values of \( t \).
Transcribed Image Text:# MAT 085 ## Weekly Activity 10 ### Introduction to Quadratics **Name:** ___________ This homework assignment must be neatly done. It must be done here or on loose-leaf paper. This will make sure that your work is well organized. ### I. Evaluating and Graphing Quadratics: William Tell shoots an arrow straight up into the air with an initial velocity of 160 feet per second. The height (in feet) of the arrow is indicated by the equation: \[ h = -16t^2 + 160t, \] where \( t \) is the number of seconds the arrow is in the air. Find the height of the arrow for: - a. \( t = 0 \) - b. \( t = 2 \) - c. \( t = 5 \) - d. \( t = 8 \) - e. \( t = 10 \) **f.** According to the calculations above, when will the arrow reach its maximum height (vertex)? **g.** According to the calculations above, when will the arrow hit the ground? **h.** Graph the points obtained in a through e. #### Graph Details: A table is provided with columns labeled \( t \) and \( h \), along with a column for Ordered Pair \((t, h)\). The values for \( t \) are 0, 2, 5, 8, and 10. Next to the table, there is a coordinate plane set up for plotting \( t \) on the x-axis and \( h \) on the y-axis. The graph is intended to visually represent the points calculated from the equation for the specified values of \( t \).
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