For , a particle’s acceleration is given by . The particle is at rest at . Determine…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For

t\ge 0

, a particle’s acceleration is given by

a(t)=6t-4\,\text{m/s}^2

. The particle is at rest at

t=0

. Determine an explicit formula for its velocity

v(t)

(in m/s).