If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t seconds is given by y = 42t - 16t². (a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following. (1) 0.5 seconds 10 (ii) 0.1 seconds 2 (iii) 0.05 seconds 1 (iv) 0.01 seconds 0.2 m ft/s X ft/s X ft/s X ft/s (b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. 3.3 X 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
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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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Can you help mind the initial velocity for part a and the instantaneous velocity for part b?

If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t seconds is given by y = 42t - 16t².
(a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following.
(1) 0.5 seconds
10
(ii) 0.1 seconds
2
(iii) 0.05 seconds
1
(iv) 0.01 seconds
0.2
2 ft/s
*m
X ft/s
X ft/s
X ft/s
(b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2.
3.3
X ft/s
Transcribed Image Text:If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t seconds is given by y = 42t - 16t². (a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following. (1) 0.5 seconds 10 (ii) 0.1 seconds 2 (iii) 0.05 seconds 1 (iv) 0.01 seconds 0.2 2 ft/s *m X ft/s X ft/s X ft/s (b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. 3.3 X ft/s
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