The displacement of a particle is (SI units)

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The displacement of a particle is

x(t)=0.50\sin(\pi t)

(SI units). Determine its instantaneous velocity at

t=1.0\,\text{s}

. (a)

+1.6\,\text{m/s}

(b)

0\,\text{m/s}

(c)

-1.6\,\text{m/s}

(d)

-0.50\,\text{m/s}