The velocity of a particle varies with time as (SI units)

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

Problem

The velocity of a particle varies with time as

v(t)=6e^{2t}+4t

(SI units). Calculate its acceleration at

t=0.5\,\text{s}

. (a)

32.6\,\text{m s}^{-2}

(b)

40.6\,\text{m s}^{-2}

(c)

36.6\,\text{m s}^{-2}

(d)

34.6\,\text{m s}^{-2}