Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Related questions
Question
![1.
Differentiate the function.
y = In(V sin-'(5r))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01331f62-4abc-4e4c-96db-9533ffa1b434%2F493965c4-c771-4ab5-a578-11fe91e45f1a%2F7f0krve_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Differentiate the function.
y = In(V sin-'(5r))
![2. The height (in meters) of a projectile shot vertically upward from the ground level with an initial
velocity of 19.6 m/s is h = 19.6t – 4.9t² after t seconds.
(a)
Find the velocity (in m/s) after t seconds.
What is the value (in m/s) of v(t) when the projectile reaches its maximum height?
(b)
When (in s) does the projectile reach its maximum height? What is the maximum height (in
m)?
(c)
When (in s) does it hit the ground? With what velocity (in m/s) does it hit the
ground?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01331f62-4abc-4e4c-96db-9533ffa1b434%2F493965c4-c771-4ab5-a578-11fe91e45f1a%2Fsowz9ztd_processed.png&w=3840&q=75)
Transcribed Image Text:2. The height (in meters) of a projectile shot vertically upward from the ground level with an initial
velocity of 19.6 m/s is h = 19.6t – 4.9t² after t seconds.
(a)
Find the velocity (in m/s) after t seconds.
What is the value (in m/s) of v(t) when the projectile reaches its maximum height?
(b)
When (in s) does the projectile reach its maximum height? What is the maximum height (in
m)?
(c)
When (in s) does it hit the ground? With what velocity (in m/s) does it hit the
ground?
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