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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 ba (a) Determine the speed of the ball bearing after t seconds. 9.8 m/s X

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

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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