Mathematics

Problem

The velocity of a body undergoing simple harmonic motion is given by

v(t)=40\pi \cos(2\pi t)\,\text{cm s}^{-1}

. How much displacement does it cover between

t=0\,\text{s}

and

t=0.25\,\text{s}

? a) 0\;\text{cm} b) 10\;\text{cm} c) 20\;\text{cm} d) 40\;\text{cm}