(a) Explanation Given Information: The coordinates s of a moving body at time t. Calculation: Plot the points on the graph, Sketch the curve, Conclusion: The graph of the parabola is shown above. (b) To determine To calculate: Velocity at t = 1 , 2.5 , 3.5 Answer Velocity at t = 1 , 2.5 , 3.5 is − 6 ft/sec, 12 ft/sec, 24 ft/sec respectively. Explanation Given Information: A smooth curve representing the motion of the body. Calculation: Velocity at t = 1 is, s ' ( 1 ) = s ( 1.5 ) − s ( 0.5 ) 1.5 − 0.5 = − 10 − ( − 4 ) 1 = − 6 ft / sec Velocity at t = 2.5 is, s ' ( 2.5 ) = s ( 3.0 ) − s ( 2.0 ) 3.0 − 2.0 = 3.5 − ( − 8.5 ) 1 = 12 ft / sec Velocity at t = 3.5 is, s ' ( 3.5 ) = s ( 4.0 ) − s ( 3.0 ) 4.0 − 3.0 = 27.5 − 3.5 1 = 24 ft / sec Conclusion: Velocity at t = 1 , 2.5 , 3.5 is − 6 ft/sec, 12 ft/sec, 24 ft/sec respectively.

Calculus: Graphical, Numerical, Algebraic

3rd Edition

ISBN: 9780133688399

Author: Finney, Ross L.

Publisher: Pearson/Prentice Hall

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Question

Chapter 3.4, Problem 6E

(a)

To determine

To plot s versus t and sketch a smooth curve of the points.

(a)

Expert Solution

Explanation of Solution

Given Information: The coordinates s of a moving body at time t.

Calculation:

Plot the points on the graph,

Calculus: Graphical, Numerical, Algebraic, Chapter 3.4, Problem 6E , additional homework tip 1

Sketch the curve,

Calculus: Graphical, Numerical, Algebraic, Chapter 3.4, Problem 6E , additional homework tip 2

Conclusion:

The graph of the parabola is shown above.

(b)

To determine

To calculate: Velocity at t=1,2.5,3.5

(b)

Expert Solution

Answer to Problem 6E

Velocity at t=1,2.5,3.5 is −6 ft/sec, 12 ft/sec, 24 ft/sec respectively.

Explanation of Solution

Given Information: A smooth curve representing the motion of the body.

Calculation:

Velocity at t=1 is,

s'(1)=s(1.5)−s(0.5)1.5−0.5=−10−(−4)1=−6ft/sec

Velocity at t=2.5 is,

s'(2.5)=s(3.0)−s(2.0)3.0−2.0=3.5−(−8.5)1=12ft/sec

Velocity at t=3.5 is,

s'(3.5)=s(4.0)−s(3.0)4.0−3.0=27.5−3.51=24ft/sec

Conclusion:

Velocity at t=1,2.5,3.5 is −6 ft/sec, 12 ft/sec, 24 ft/sec respectively.

Chapter 3.4, Problem 5E

Chapter 3.4, Problem 7E

Chapter 3 Solutions

Calculus: Graphical, Numerical, Algebraic

Ch. 3.1 - Prob. 1QR Ch. 3.1 - Prob. 2QR Ch. 3.1 - Prob. 3QR Ch. 3.1 - Prob. 4QR Ch. 3.1 - Prob. 5QR Ch. 3.1 - Prob. 6QR Ch. 3.1 - Prob. 7QR Ch. 3.1 - Prob. 8QR Ch. 3.1 - Prob. 9QR Ch. 3.1 - Prob. 10QR

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.2 - Prob. 1QR Ch. 3.2 - Prob. 2QR Ch. 3.2 - Prob. 3QR Ch. 3.2 - Prob. 4QR Ch. 3.2 - Prob. 5QR Ch. 3.2 - 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Prob. 4RE Ch. 3 - Prob. 5RE Ch. 3 - Prob. 6RE Ch. 3 - Prob. 7RE Ch. 3 - Prob. 8RE Ch. 3 - Prob. 9RE Ch. 3 - Prob. 10RE Ch. 3 - Prob. 11RE Ch. 3 - Prob. 12RE Ch. 3 - Prob. 13RE Ch. 3 - Prob. 14RE Ch. 3 - Prob. 15RE Ch. 3 - Prob. 16RE Ch. 3 - Prob. 17RE Ch. 3 - Prob. 18RE Ch. 3 - Prob. 19RE Ch. 3 - Prob. 20RE Ch. 3 - Prob. 21RE Ch. 3 - Prob. 22RE Ch. 3 - Prob. 23RE Ch. 3 - Prob. 24RE Ch. 3 - Prob. 25RE Ch. 3 - Prob. 26RE Ch. 3 - Prob. 27RE Ch. 3 - Prob. 28RE Ch. 3 - Prob. 29RE Ch. 3 - Prob. 30RE Ch. 3 - Prob. 31RE Ch. 3 - Prob. 32RE Ch. 3 - Prob. 33RE Ch. 3 - Prob. 34RE Ch. 3 - Prob. 35RE Ch. 3 - Prob. 36RE Ch. 3 - Prob. 37RE Ch. 3 - Prob. 38RE Ch. 3 - Prob. 39RE Ch. 3 - Prob. 40RE Ch. 3 - Prob. 41RE Ch. 3 - Prob. 42RE Ch. 3 - Prob. 43RE Ch. 3 - Prob. 44RE Ch. 3 - Prob. 45RE Ch. 3 - Prob. 46RE Ch. 3 - Prob. 47RE Ch. 3 - Prob. 48RE Ch. 3 - Prob. 49RE Ch. 3 - Prob. 50RE Ch. 3 - Prob. 51RE Ch. 3 - Prob. 52RE Ch. 3 - Prob. 53RE Ch. 3 - Prob. 54RE Ch. 3 - Prob. 55RE Ch. 3 - Prob. 56RE Ch. 3 - Prob. 57RE Ch. 3 - Prob. 58RE Ch. 3 - Prob. 59RE Ch. 3 - Prob. 60RE Ch. 3 - Prob. 61RE Ch. 3 - Prob. 62RE Ch. 3 - Prob. 63RE Ch. 3 - Prob. 64RE Ch. 3 - Prob. 65RE Ch. 3 - Prob. 66RE Ch. 3 - Prob. 67RE Ch. 3 - Prob. 68RE Ch. 3 - Prob. 69RE Ch. 3 - Prob. 70RE Ch. 3 - Prob. 71RE Ch. 3 - Prob. 72RE Ch. 3 - Prob. 73RE Ch. 3 - Prob. 74RE Ch. 3 - Prob. 75RE Ch. 3 - Prob. 76RE Ch. 3 - Prob. 77RE Ch. 3 - Prob. 78RE Ch. 3 - Prob. 79RE Ch. 3 - Prob. 80RE Ch. 3 - Prob. 81RE Ch. 3 - Prob. 82RE Ch. 3 - Prob. 83RE

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