The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 23.5 m/s is h = 4 + 23.5t - 4.9t2 after t seconds. (a) Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) = m/s v(4) = m/s (b) When does the projectile reach its maximum height? (Round your answer to two decimal places.) (c) What the maximum height? (Round your answer to two decimal places.) m (d) When does hit the ground? (Round your answer to two decimal places.) (e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.) m/s

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 23.5 m/s is h = 4 + 23.5t – 4.9t2 after t seconds.
(a) Find the velocity (in m/s) after 2 seconds and after 4 seconds.
v(2) =
m/s
%3D
v(4) =
m/s
(b) When does the projectile reach its maximum height? (Round your answer to two decimal places.)
S
(c) What is the maximum height? (Round your answer to two decimal places.)
(d) When does it hit the ground? (Round your answer to two decimal places.)
S
(e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.)
m/s
Transcribed Image Text:The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 23.5 m/s is h = 4 + 23.5t – 4.9t2 after t seconds. (a) Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) = m/s %3D v(4) = m/s (b) When does the projectile reach its maximum height? (Round your answer to two decimal places.) S (c) What is the maximum height? (Round your answer to two decimal places.) (d) When does it hit the ground? (Round your answer to two decimal places.) S (e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.) m/s
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