Task 1

Calculate the work done if the force increases from 100N to 700N using: Take the number of cut sections to be 5.
i) An analytical integration technique
ii) A numerical integration technique
Compare the two answers
Using a computer spreadsheet increase the number of values used for your numerical method
Analyze any effect the size of the numerical step has on the result.

Task 2

Find the indefinite integral of the function

Calculate the definite integral

Task 3

An object is moving with a uniform acceleration a = 3ms‾², determine the functions for:

Velocity (ms‾¹) – given v(0) = 12ms‾¹
Displacement s(m) – given s(0) = 7m
Calculate the values of v and s for:
i) t = 3s
ii) t =7s

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