To see what you should post in the discussion and the rubric for how you will be graded, go to Discussions and scroll down to Lesson Discussions for the description. Topic: The height s above the ground at time t of an object is given by s(t) = -5t² + vt + So where sis in meters, tis in seconds, v is the object's initial velocity in meters per second and so is its initial position in meters. a) If you throw a ball straight up from the ground with an initial velocity of 20 meters per second, how long will it take for the ball to hit the ground? Explain your reasoning. b) If you now throw the ball from the top of a tower which is 80 meters above ground, at the same initial velocity as in part a), when does it hit the ground? Explain your reasoning.
To see what you should post in the discussion and the rubric for how you will be graded, go to Discussions and scroll down to Lesson Discussions for the description. Topic: The height s above the ground at time t of an object is given by s(t) = -5t² + vt + So where sis in meters, tis in seconds, v is the object's initial velocity in meters per second and so is its initial position in meters. a) If you throw a ball straight up from the ground with an initial velocity of 20 meters per second, how long will it take for the ball to hit the ground? Explain your reasoning. b) If you now throw the ball from the top of a tower which is 80 meters above ground, at the same initial velocity as in part a), when does it hit the ground? Explain your reasoning.
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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![**Lesson 7**
To see what you should post in the discussion and the rubric for how you will be graded, go to Discussions and scroll down to Lesson Discussions for the description.
**Topic:** The height \( s \) above the ground at time \( t \) of an object is given by
\[ s(t) = -5t^2 + v_0 t + s_0 \]
where \( s \) is in meters, \( t \) is in seconds, \( v_0 \) is the object's initial velocity in meters per second, and \( s_0 \) is its initial position in meters.
a) If you throw a ball straight up from the ground with an initial velocity of 20 meters per second, how long will it take for the ball to hit the ground? Explain your reasoning.
b) If you now throw the ball from the top of a tower which is 80 meters above ground, at the same initial velocity as in part a), when does it hit the ground? Explain your reasoning.
**Explanation of Diagrams:**
The image contains two diagrams:
1. On the left, there is an illustration of a ball's projectile motion being thrown into a basketball hoop. The diagram shows the arc of the ball's path.
2. On the right, there is an illustration of a baseball player pitching a ball. The diagram labels the height from which the ball is thrown (6 feet) and the pitching distance (60 feet). It shows the trajectory and expected landing point of the baseball.
These diagrams visually represent the application of projectile motion principles in real-life scenarios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca9984f3-874d-4ced-afdc-126af2c91c7e%2Feac84d22-588c-453b-98b0-56aa8560593e%2Fdvmf46f_processed.png&w=3840&q=75)
Transcribed Image Text:**Lesson 7**
To see what you should post in the discussion and the rubric for how you will be graded, go to Discussions and scroll down to Lesson Discussions for the description.
**Topic:** The height \( s \) above the ground at time \( t \) of an object is given by
\[ s(t) = -5t^2 + v_0 t + s_0 \]
where \( s \) is in meters, \( t \) is in seconds, \( v_0 \) is the object's initial velocity in meters per second, and \( s_0 \) is its initial position in meters.
a) If you throw a ball straight up from the ground with an initial velocity of 20 meters per second, how long will it take for the ball to hit the ground? Explain your reasoning.
b) If you now throw the ball from the top of a tower which is 80 meters above ground, at the same initial velocity as in part a), when does it hit the ground? Explain your reasoning.
**Explanation of Diagrams:**
The image contains two diagrams:
1. On the left, there is an illustration of a ball's projectile motion being thrown into a basketball hoop. The diagram shows the arc of the ball's path.
2. On the right, there is an illustration of a baseball player pitching a ball. The diagram labels the height from which the ball is thrown (6 feet) and the pitching distance (60 feet). It shows the trajectory and expected landing point of the baseball.
These diagrams visually represent the application of projectile motion principles in real-life scenarios.
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