If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height 8 in meters t seconds later is given by y = 15t-1.93t². (a) Find the average velocity over the given time intervals: i. [2, 2.5] ii. [2, 2.05] iii. [2, 2.005] iv. [2, 2.0005] (b) Estimate the instantaneous velocity when t = 2.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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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-1.93t².
(a) Find the average velocity over the given time intervals:
i. [2, 2.5]
ii. [2, 2.05]
iii. [2, 2.005]
iv. [2, 2.0005]
(b) Estimate the instantaneous velocity when t = 2.
(a)
On the interval [2, 2.5]
On the interval [2, 2.05]
On the interval [2, 2.005]
On the interval [2, 2.0005]
(b)
The instantaneous velocity at 2 seconds is
Transcribed Image Text:m 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-1.93t². (a) Find the average velocity over the given time intervals: i. [2, 2.5] ii. [2, 2.05] iii. [2, 2.005] iv. [2, 2.0005] (b) Estimate the instantaneous velocity when t = 2. (a) On the interval [2, 2.5] On the interval [2, 2.05] On the interval [2, 2.005] On the interval [2, 2.0005] (b) The instantaneous velocity at 2 seconds is
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