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Integration: Calculation of Distance Travelled

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1. In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral:

t = (integral) [r/(g +ks)]ds

where r, g and k are all constants.

Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.

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Solution Summary

This solution is comprised of a step by step response which uses an integral to find the distance traveled. The solution is detailed and well presented, in an attached Word document.

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