[X] A cyclist freewheeling on a level road experiences a retardation (i.e., a negative acceleration) that is proportional to the square of his speed. His speed is reduced from 20 metres per second to 10 metres per second in a distance of 100 metres. Find his average (with respect to time) speed during this period.
Added by Ahsan N.
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The retardation (negative acceleration) is proportional to the square of the speed, so we can write: \[ a = -k v^2 \] where \( k \) is a positive constant of proportionality. Show moreā¦
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