Assuming no air resistance or forces other than the Earth's gravity, the height above the ground at time t (in seconds) of a falling object is given by s(t) 4.9t² + vot + so, where s is in meters, vo is the object's initial velocity (in -), and so is the initial height of the object (in m). m S Enter all answers (including endpoints of intervals) rounded to one decimal place. a) In the context of the problem, what does v₁ = 0 mean? object is at rest b) What is the applied domain of s(t) 4.9t² + 38t + 24? (in interval notation) c) Now suppose the object is propelled upwards from the ground so = 0 with an intitial velocity of 35 1) What is the object's maximum height above the ground? m S 2) When does the object hit the ground? = = S . d) Further suppose the object is propelled upwards from so = 24 m above the ground with an intitial velocity of 35 When does the object hit the ground? m S m

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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Assuming no air resistance or forces other than the Earth's gravity, the height above the ground at time t
(in seconds) of a falling object is given by s(t) - 4.9t² + vot + so, where s is in meters, vo is the
object's initial velocity (in -), and so is the initial height of the object (in m).
m
S
Enter all answers (including endpoints of intervals) rounded to one decimal place.
a) In the context of the problem, what does v0 = 0 mean? object is at rest
b) What is the applied domain of s(t) =
=
-
=
S
2) When does the object hit the ground?
S
4.9t²
c) Now suppose the object is propelled upwards from the ground so = 0 with an intitial velocity of 35
m
1) What is the object's maximum height above the ground?
m
+ 38t + 24? (in interval notation)
S
d) Further suppose the object is propelled upwards from so = 24 m above the ground with an intitial
velocity of 35 When does the object hit the ground?
m
S
Transcribed Image Text:Assuming no air resistance or forces other than the Earth's gravity, the height above the ground at time t (in seconds) of a falling object is given by s(t) - 4.9t² + vot + so, where s is in meters, vo is the object's initial velocity (in -), and so is the initial height of the object (in m). m S Enter all answers (including endpoints of intervals) rounded to one decimal place. a) In the context of the problem, what does v0 = 0 mean? object is at rest b) What is the applied domain of s(t) = = - = S 2) When does the object hit the ground? S 4.9t² c) Now suppose the object is propelled upwards from the ground so = 0 with an intitial velocity of 35 m 1) What is the object's maximum height above the ground? m + 38t + 24? (in interval notation) S d) Further suppose the object is propelled upwards from so = 24 m above the ground with an intitial velocity of 35 When does the object hit the ground? m S
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