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

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

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}