A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is 0. The distance (in meters) the ba (a) Determine the speed of the ball bearing after t seconds. 9.8 m/s X

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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A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is 0. The distance (in meters) the ball bearing rolls in t seconds is s(t) = 4.9(sin 0)t².
(a) Determine the speed of the ball bearing after t seconds.
9.8
m/s
(b) Complete the table.
0 =
TU
0
2
s'(t) 0
0
0
2π/3
s'(t) 4.9 √√3 t
π/4
4.9 √2 t
3π/4
4.9 √2t
π/3
4.9 √3 t
0
π
Use the table to determine the value of that produces the maximum speed at a particular time.
9.8t
π/2
Transcribed Image Text:A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is 0. The distance (in meters) the ball bearing rolls in t seconds is s(t) = 4.9(sin 0)t². (a) Determine the speed of the ball bearing after t seconds. 9.8 m/s (b) Complete the table. 0 = TU 0 2 s'(t) 0 0 0 2π/3 s'(t) 4.9 √√3 t π/4 4.9 √2 t 3π/4 4.9 √2t π/3 4.9 √3 t 0 π Use the table to determine the value of that produces the maximum speed at a particular time. 9.8t π/2
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