The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 22.5 m/s is h = 2 + 22.5t – 4.9t2 after t seconds. (a) Find the velocity (in m/s) after t seconds. v(t) = 22.5 – 9.8t v Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) = 2.9 m/s v(4) = -16.7 m/s (b) What is the value (in m/s) of v(t) when the projectile reaches its maximum height? v(t) = -0.0008 x m/s When (in s) does the projectile reach its maximum height? (Round your answer to two decimal places.) 2.29
The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 22.5 m/s is h = 2 + 22.5t – 4.9t2 after t seconds. (a) Find the velocity (in m/s) after t seconds. v(t) = 22.5 – 9.8t v Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) = 2.9 m/s v(4) = -16.7 m/s (b) What is the value (in m/s) of v(t) when the projectile reaches its maximum height? v(t) = -0.0008 x m/s When (in s) does the projectile reach its maximum height? (Round your answer to two decimal places.) 2.29
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...
Related questions
Question
Transcribed Image Text:The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 22.5 m/s is h = 2 + 22.5t – 4.9t after t seconds.
(a) Find the velocity (in m/s) after t seconds.
v(t) = | 22.5 – 9.8t
Find the velocity (in m/s) after 2 seconds and after 4 seconds.
v(2)
= 2.9
m/s
v(4) = -16.7
m/s
(b) What is the value (in m/s) of v(t) when the projectile reaches its maximum height?
v(t) = -0.0008
X m/s
When (in s) does the projectile reach its maximum height? (Round your answer to two decimal places.)
2.29
X S
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning