If a ball is thrown in the air with a velocity 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 (1) 0.5 second. ft/s (ii) 0.1 second. ft/s (iii) 0.05 second. ft/s (iv) 0.01 second. 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
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Author:Bruce Crauder, Benny Evans, Alan Noell
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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 in the air with a velocity 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
(i) 0.5 second.
ft/s
(ii)
0.1 second.
ft/s
(iii)
0.05 second.
ft/s
(iv)
0.01 second.
ft/s
(b) Estimate the instantaneous velocity when t = 2.
ft/s
Transcribed Image Text:If a ball is thrown in the air with a velocity 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 (i) 0.5 second. ft/s (ii) 0.1 second. ft/s (iii) 0.05 second. ft/s (iv) 0.01 second. ft/s (b) Estimate the instantaneous velocity when t = 2. ft/s
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