If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height S in meters t seconds later is given by y = 15t - 2.03t². (a) Find the average velocity over the given time intervals: i. [1, 2] ii. [1, 1.1] iii. [1, 1.01] iv. [1, 1.001] (b) Estimate the instantaneous velocity when t = 1. (a) On the interval [1, 2] On the interval [1, 1.1] On the interval [1, 1.01] On the interval [1, 1.001] (b) The instantaneous velocity at 1 seconds is

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question

Please solve and show work. Thanks.

If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height
S
in meters t seconds later is given by y = 15t - 2.03t².
(a) Find the average velocity over the given time intervals:
i. [1, 2]
ii. [1, 1.1]
iii. [1, 1.01]
iv. [1, 1.001]
(b) Estimate the instantaneous velocity when t = 1.
(a)
On the interval [1, 2]
On the interval [1, 1.1]
On the interval [1, 1.01]
On the interval [1, 1.001]
(b)
The instantaneous velocity at 1 seconds is
Transcribed Image Text:If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height S in meters t seconds later is given by y = 15t - 2.03t². (a) Find the average velocity over the given time intervals: i. [1, 2] ii. [1, 1.1] iii. [1, 1.01] iv. [1, 1.001] (b) Estimate the instantaneous velocity when t = 1. (a) On the interval [1, 2] On the interval [1, 1.1] On the interval [1, 1.01] On the interval [1, 1.001] (b) The instantaneous velocity at 1 seconds is
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning