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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 11E
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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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