A stone is thrown into the air. The height based on time, t, can be modeled by the expression below. -16t2 + 16t +96. Match the form of the expression that most clearly reveals the following: The time it took the stone to land a. -16t2 + 16t + 96 The starting position of the stone b. -16(x- %)? + 100 The maximum height of the stone c. -16(t? -t- 6) d. -16(t + 2)(t- 3)
A stone is thrown into the air. The height based on time, t, can be modeled by the expression below. -16t2 + 16t +96. Match the form of the expression that most clearly reveals the following: The time it took the stone to land a. -16t2 + 16t + 96 The starting position of the stone b. -16(x- %)? + 100 The maximum height of the stone c. -16(t? -t- 6) d. -16(t + 2)(t- 3)
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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A stone is thrown into the air. The height based on time, t, can be modeled by the expression below. -16t^2+16t+96.
Match the form of the expression that most clearly revels the following:
![**Problem 4: Projectile Motion of a Stone**
A stone is thrown into the air. The height based on time, \( t \), can be modeled by the expression below.
\[
-16t^2 + 16t + 96
\]
**Instructions:**
Match the form of the expression that most clearly reveals the following:
1. _____ The time it took the stone to land
2. _____ The starting position of the stone
3. _____ The maximum height of the stone
**Options:**
a. \(-16t^2 + 16t + 96\)
b. \(-16(x - \frac{1}{2})^2 + 100\)
c. \(-16(t^2 - t - 6)\)
d. \(-16(t + 2)(t - 3)\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a486f60-13a5-466b-b7f3-7ab59c87130e%2F572b4421-0e7b-4fac-b184-3223c3f948f7%2Fqd9jku_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4: Projectile Motion of a Stone**
A stone is thrown into the air. The height based on time, \( t \), can be modeled by the expression below.
\[
-16t^2 + 16t + 96
\]
**Instructions:**
Match the form of the expression that most clearly reveals the following:
1. _____ The time it took the stone to land
2. _____ The starting position of the stone
3. _____ The maximum height of the stone
**Options:**
a. \(-16t^2 + 16t + 96\)
b. \(-16(x - \frac{1}{2})^2 + 100\)
c. \(-16(t^2 - t - 6)\)
d. \(-16(t + 2)(t - 3)\)
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