a)The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π). Find both the net and the total distance travelled in the first 1.5 seconds. b) Sketch the graph for the function a(t) and answer the same question this time using the trapezium rule. Compare your answer to the first part of the question.

a)The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π). Find both the net and the total distance travelled in the first 1.5 seconds. b) Sketch the graph for the function a(t) and answer the same question this time using the trapezium rule. Compare your answer to the first part of the question.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Task 13

a)The acceleration of an object is given by a(t)=cos(πt), and its velocity at time t=0 is 1/(2π). Find both the net and the total distance travelled in the first 1.5 seconds.

b) Sketch the graph for the function a(t) and answer the same question this time using the trapezium rule. Compare your answer to the first part of the question.

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Step 1: Given

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Step 2: Finding the net and total distance travel

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Step 3: Finding the distance using trapezoidal rule

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should that not be -7.614*10^-3

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