Vertical Motion In Exercises 101 and 102, use the position function s(t) = -4.9t2 + v,t + s, for free-falling objects. 101. A projectile is shot upward from the surface of Earth with an initial velocity of 120 meters per second. What is its velocity after 5 seconds? After 10 seconds? 102 To artimate the height of a building a stone is dropped from
Vertical Motion In Exercises 101 and 102, use the position function s(t) = -4.9t2 + v,t + s, for free-falling objects. 101. A projectile is shot upward from the surface of Earth with an initial velocity of 120 meters per second. What is its velocity after 5 seconds? After 10 seconds? 102 To artimate the height of a building a stone is dropped from
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Vertical Motion**
In Exercises 101 and 102, use the position function \( s(t) = -4.9t^2 + v_0t + s_0 \) for free-falling objects.
101. A projectile is shot upward from the surface of Earth with an initial velocity of 120 meters per second. What is its velocity after 5 seconds? After 10 seconds?
102. To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The splash is seen 5.6 seconds after the stone is dropped. What is the height of the building?
**Think About It**
In Exercises 103 and 104, the graph of a position function is shown. It represents the distance in miles that a person drives during a 10-minute trip to work. Make a sketch of the corresponding velocity function.
103. [A graph is depicted with time (min) on the x-axis and distance (miles) on the y-axis. The plot shows an increase in distance over time, with a labeled point at (10, 6).]
104. [A graph is depicted with time (min) on the x-axis and distance (miles) on the y-axis. The plot shows a more gradual increase compared to the previous graph, with labeled points at (6.5, 5) and (10, 6).]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39660209-0130-4531-8e39-edad714133c0%2Ff04fa01d-971e-41c3-843a-7e008d235fce%2Fqaubdal_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Vertical Motion**
In Exercises 101 and 102, use the position function \( s(t) = -4.9t^2 + v_0t + s_0 \) for free-falling objects.
101. A projectile is shot upward from the surface of Earth with an initial velocity of 120 meters per second. What is its velocity after 5 seconds? After 10 seconds?
102. To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The splash is seen 5.6 seconds after the stone is dropped. What is the height of the building?
**Think About It**
In Exercises 103 and 104, the graph of a position function is shown. It represents the distance in miles that a person drives during a 10-minute trip to work. Make a sketch of the corresponding velocity function.
103. [A graph is depicted with time (min) on the x-axis and distance (miles) on the y-axis. The plot shows an increase in distance over time, with a labeled point at (10, 6).]
104. [A graph is depicted with time (min) on the x-axis and distance (miles) on the y-axis. The plot shows a more gradual increase compared to the previous graph, with labeled points at (6.5, 5) and (10, 6).]
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