If a ball is thrown into the air with a velocity of 50 ft/s, its height in feett seconds later is given by y = 50t – 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the following. (i) 0.5 seconds ft/s (ii) 0.1 seconds ft/s (iii) 0.05 seconds ft/s (iv) 0.01 seconds ft/s (b) Estimate the instantaneous velocity when t = 2. ft/s

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...
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If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is given by y =
50t – 16t2.
(a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the following.
(i)
0.5 seconds
ft/s
(ii)
0.1 seconds
ft/s
(iii)
0.05 seconds
ft/s
(iv)
0.01 seconds
ft/s
(b) Estimate the instantaneous velocity when t = 2.
ft/s
Transcribed Image Text:If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is given by y = 50t – 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the following. (i) 0.5 seconds ft/s (ii) 0.1 seconds ft/s (iii) 0.05 seconds ft/s (iv) 0.01 seconds ft/s (b) Estimate the instantaneous velocity when t = 2. ft/s
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