Explanation The initial velocity of a float is v ( 0 ) = 5.0 ft/s and its acceleration is a = 0.020 ft/s 2 . Note that, the velocity v in terms of acceleration a and time t is v = ∫ a d t . Substitute a = 0.020 ft/s 2 in v = ∫ a d t and simplify for v . v = ∫ ( 0.020 ) d t = 0.020 t + C Apply the initial condition on vertical velocity to obtain C as follows. v ( 0 ) = 5.0 0.020 ( 0 ) + C = 5 0 + C = 5 C = 5 Hence, the velocity of the ball is v = 0.020 t + 5 . Note that, the displacement s in terms of time t is s = ∫ v d t . Substitute v = 0.020 t + 5 in s = ∫ v d t and simplify for s . s = ∫ ( 0

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Chapter 26, Problem 10RE

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The distance travelled by the float in 30 seconds.

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Chapter 26, Problem 9RE

Chapter 26, Problem 11RE

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Chapter 26 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 26.1 - In Example 4, change the acceleration to a = 4...Ch. 26.1 - Prob. 2PE Ch. 26.1 - In Example 3, change 5.0 s to 2.5 s and then solve...Ch. 26.1 - Prob. 2E Ch. 26.1 - What is the velocity (in ft/s) of a sandbag 1.5 s...Ch. 26.1 - Prob. 4E Ch. 26.1 - A conveyor belt 8.00 m long moves at 0.25 m/s. If...Ch. 26.1 - Prob. 6E Ch. 26.1 - The velocity (in km/h) of a plane flying into an...Ch. 26.1 - A cyclist goes downhill for 15 min with a velocity...

Ch. 26.1 - A car crosses an intersection as a fire engine...Ch. 26.1 - In designing a highway, a civil engineer must...Ch. 26.1 - Prob. 11E Ch. 26.1 - Prob. 12E Ch. 26.1 - A certain Chevrolet Corvette goes from 0 mi/h to...Ch. 26.1 - Prob. 14E Ch. 26.1 - Prob. 15E Ch. 26.1 - Prob. 16E Ch. 26.1 - Prob. 17E Ch. 26.1 - Prob. 18E Ch. 26.1 - Prob. 19E Ch. 26.1 - Prob. 20E Ch. 26.1 - Prob. 21E Ch. 26.1 - Prob. 22E Ch. 26.1 - Prob. 23E Ch. 26.1 - Prob. 24E Ch. 26.1 - Prob. 25E Ch. 26.1 - Prob. 26E Ch. 26.1 - The voltage across a 3.75-μF capacitor in a...Ch. 26.1 - Prob. 28E Ch. 26.1 - Prob. 29E Ch. 26.1 - Prob. 30E Ch. 26.1 - Prob. 31E Ch. 26.1 - Prob. 32E Ch. 26.1 - Prob. 33E Ch. 26.1 - Prob. 34E Ch. 26.1 - Prob. 35E Ch. 26.1 - Prob. 36E Ch. 26.2 - Find the area in the first quadrant bounded by y =...Ch. 26.2 - Prob. 2PE Ch. 26.2 - In Exercises 1 and 2, make the given changes in...Ch. 26.2 - In Exercises 1 and 2, make the given changes in...Ch. 26.2 - Prob. 3E Ch. 26.2 - Prob. 4E Ch. 26.2 - Prob. 5E Ch. 26.2 - Prob. 6E Ch. 26.2 - In Exercises 3–28, find the areas bounded by the...Ch. 26.2 - Prob. 8E Ch. 26.2 - Prob. 9E Ch. 26.2 - Prob. 10E Ch. 26.2 - Prob. 11E Ch. 26.2 - Prob. 12E Ch. 26.2 - Prob. 13E Ch. 26.2 - Prob. 14E Ch. 26.2 - Prob. 15E Ch. 26.2 - Prob. 16E Ch. 26.2 - Prob. 17E Ch. 26.2 - Prob. 18E Ch. 26.2 - Prob. 19E Ch. 26.2 - Prob. 20E Ch. 26.2 - Prob. 21E Ch. 26.2 - Prob. 22E Ch. 26.2 - Prob. 23E Ch. 26.2 - Prob. 24E Ch. 26.2 - Prob. 25E Ch. 26.2 - Prob. 26E Ch. 26.2 - Prob. 27E Ch. 26.2 - Prob. 28E Ch. 26.2 - Prob. 29E Ch. 26.2 - Prob. 30E Ch. 26.2 - Prob. 31E Ch. 26.2 - In Exercises 29–38, solve the given problems. 32....Ch. 26.2 - Prob. 33E Ch. 26.2 - Prob. 34E Ch. 26.2 - Prob. 35E Ch. 26.2 - Prob. 36E Ch. 26.2 - Prob. 37E Ch. 26.2 - Prob. 38E Ch. 26.2 - Prob. 39E Ch. 26.2 - Prob. 40E Ch. 26.2 - Prob. 41E Ch. 26.2 - Prob. 42E Ch. 26.2 - Prob. 43E Ch. 26.2 - Prob. 44E Ch. 26.2 - Prob. 45E Ch. 26.2 - Prob. 46E Ch. 26.2 - Prob. 47E Ch. 26.2 - Prob. 48E Ch. 26.2 - Prob. 49E Ch. 26.2 - Prob. 50E Ch. 26.3 - Find the volume of the solid generated by...Ch. 26.3 - Prob. 2PE Ch. 26.3 - Prob. 1E Ch. 26.3 - Prob. 2E Ch. 26.3 - Prob. 3E Ch. 26.3 - Prob. 4E Ch. 26.3 - Prob. 5E Ch. 26.3 - Prob. 6E Ch. 26.3 - Prob. 7E Ch. 26.3 - Prob. 8E Ch. 26.3 - In Exercises 7–16, find the volume generated by...Ch. 26.3 - Prob. 10E Ch. 26.3 - In Exercises 7–16, find the volume generated by...Ch. 26.3 - Prob. 12E Ch. 26.3 - Prob. 13E Ch. 26.3 - Prob. 14E Ch. 26.3 - Prob. 15E Ch. 26.3 - Prob. 16E Ch. 26.3 - Prob. 17E Ch. 26.3 - Prob. 18E Ch. 26.3 - Prob. 19E Ch. 26.3 - Prob. 20E Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 27–40, find the indicated volumes by...Ch. 26.3 - Prob. 28E Ch. 26.3 - Prob. 29E Ch. 26.3 - Prob. 30E Ch. 26.3 - Prob. 31E Ch. 26.3 - Prob. 32E Ch. 26.3 - Prob. 33E Ch. 26.3 - Prob. 34E Ch. 26.3 - Prob. 35E Ch. 26.3 - Prob. 36E Ch. 26.3 - Prob. 37E Ch. 26.3 - Prob. 38E Ch. 26.3 - Prob. 39E Ch. 26.3 - Prob. 40E Ch. 26.4 - In Example 4, change y = 4 to y = 1 and solve the...Ch. 26.4 - Prob. 1E Ch. 26.4 - Prob. 2E Ch. 26.4 - In Exercises 3–6, find the center of mass (in cm)...Ch. 26.4 - Prob. 4E Ch. 26.4 - Prob. 5E Ch. 26.4 - Prob. 6E Ch. 26.4 - Prob. 7E Ch. 26.4 - Prob. 8E Ch. 26.4 - Prob. 9E Ch. 26.4 - Prob. 10E Ch. 26.4 - Prob. 11E Ch. 26.4 - Prob. 12E Ch. 26.4 - Prob. 13E Ch. 26.4 - Prob. 14E Ch. 26.4 - Prob. 15E Ch. 26.4 - Prob. 16E Ch. 26.4 - Prob. 17E Ch. 26.4 - In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 19E Ch. 26.4 - In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 21E Ch. 26.4 - In Exercises 11–34, find the coordinates of the...Ch. 26.4 - In Exercises 11–34, find the coordinates of the...Ch. 26.4 - In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 25E Ch. 26.4 - Prob. 26E Ch. 26.4 - Prob. 27E Ch. 26.4 - Prob. 28E Ch. 26.4 - Prob. 29E Ch. 26.4 - In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 31E Ch. 26.4 - Prob. 32E Ch. 26.4 - Prob. 33E Ch. 26.4 - Prob. 34E Ch. 26.5 - EXAMPLE 1 Moment of inertia and radius of...Ch. 26.5 - Prob. 1E Ch. 26.5 - Prob. 2E Ch. 26.5 - Prob. 3E Ch. 26.5 - Prob. 4E Ch. 26.5 - Prob. 5E Ch. 26.5 - Prob. 6E Ch. 26.5 - Prob. 7E Ch. 26.5 - Prob. 8E Ch. 26.5 - Prob. 9E Ch. 26.5 - Prob. 10E Ch. 26.5 - In Exercises 7–28, find the indicated moment of...Ch. 26.5 - In Exercises 7–28, find the indicated moment of...Ch. 26.5 - Prob. 13E Ch. 26.5 - Prob. 14E Ch. 26.5 - Prob. 15E Ch. 26.5 - In Exercises 7–28, find the indicated moment of...Ch. 26.5 - Prob. 17E Ch. 26.5 - Prob. 18E Ch. 26.5 - Prob. 19E Ch. 26.5 - Prob. 20E Ch. 26.5 - In Exercises 7–28, find the indicated moment of...Ch. 26.5 - Prob. 22E Ch. 26.5 - Prob. 23E Ch. 26.5 - Prob. 24E Ch. 26.5 - Prob. 25E Ch. 26.5 - Prob. 26E Ch. 26.5 - Prob. 27E Ch. 26.5 - Prob. 28E Ch. 26.6 - Prob. 1PE Ch. 26.6 - Prob. 2PE Ch. 26.6 - Prob. 1E Ch. 26.6 - Prob. 2E Ch. 26.6 - Prob. 3E Ch. 26.6 - Prob. 4E Ch. 26.6 - Prob. 5E Ch. 26.6 - Prob. 6E Ch. 26.6 - An electron has a 1.6 × 10–19 C negative charge....Ch. 26.6 - Prob. 8E Ch. 26.6 - Prob. 9E Ch. 26.6 - Prob. 10E Ch. 26.6 - Prob. 11E Ch. 26.6 - Prob. 12E Ch. 26.6 - At liftoff, a rocket weighs 32.5 tons, including...Ch. 26.6 - Prob. 14E Ch. 26.6 - Prob. 15E Ch. 26.6 - Prob. 16E Ch. 26.6 - Prob. 17E Ch. 26.6 - Prob. 18E Ch. 26.6 - Prob. 19E Ch. 26.6 - Prob. 20E Ch. 26.6 - Prob. 21E Ch. 26.6 - Prob. 22E Ch. 26.6 - Prob. 23E Ch. 26.6 - Prob. 24E Ch. 26.6 - Prob. 25E Ch. 26.6 - Prob. 26E Ch. 26.6 - Prob. 27E Ch. 26.6 - Prob. 28E Ch. 26.6 - Prob. 29E Ch. 26.6 - Prob. 30E Ch. 26.6 - Prob. 31E Ch. 26.6 - Prob. 32E Ch. 26.6 - Prob. 33E Ch. 26.6 - Prob. 34E Ch. 26.6 - Prob. 35E Ch. 26.6 - Prob. 36E Ch. 26.6 - Prob. 37E Ch. 26.6 - Prob. 38E Ch. 26 - Prob. 1RE Ch. 26 - Prob. 2RE Ch. 26 - Prob. 3RE Ch. 26 - Prob. 4RE Ch. 26 - Prob. 5RE Ch. 26 - Prob. 6RE Ch. 26 - Prob. 7RE Ch. 26 - Prob. 8RE Ch. 26 - Prob. 9RE Ch. 26 - Prob. 10RE Ch. 26 - Prob. 11RE Ch. 26 - Prob. 12RE Ch. 26 - Prob. 13RE Ch. 26 - Prob. 14RE Ch. 26 - Prob. 15RE Ch. 26 - Prob. 16RE Ch. 26 - Prob. 17RE Ch. 26 - Prob. 18RE Ch. 26 - Prob. 19RE Ch. 26 - Prob. 20RE Ch. 26 - Prob. 21RE Ch. 26 - Prob. 22RE Ch. 26 - Prob. 23RE Ch. 26 - Prob. 24RE Ch. 26 - Prob. 25RE Ch. 26 - Prob. 26RE Ch. 26 - Prob. 27RE Ch. 26 - Prob. 28RE Ch. 26 - Prob. 29RE Ch. 26 - Prob. 30RE Ch. 26 - Prob. 31RE Ch. 26 - Prob. 32RE Ch. 26 - Prob. 33RE Ch. 26 - Prob. 34RE Ch. 26 - Prob. 35RE Ch. 26 - Prob. 36RE Ch. 26 - Prob. 37RE Ch. 26 - Prob. 38RE Ch. 26 - Prob. 39RE Ch. 26 - Prob. 40RE Ch. 26 - Prob. 41RE Ch. 26 - Prob. 42RE Ch. 26 - Prob. 43RE Ch. 26 - Prob. 44RE Ch. 26 - Prob. 45RE Ch. 26 - Prob. 46RE Ch. 26 - Prob. 47RE Ch. 26 - Prob. 48RE Ch. 26 - Prob. 49RE Ch. 26 - Prob. 50RE Ch. 26 - Prob. 51RE Ch. 26 - 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