For a particle whose position varies with time as (SI units)

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

Problem

For a particle whose position varies with time as

x(t)=5t^{2}-4t+3

(SI units), which one of the following statements about its acceleration is true? (a) It increases linearly with time. (b) It is positive for

t>0.4\,\text{s}

and negative for

t<0.4\,\text{s}

. (c) It is constant and positive. (d) It is constant and negative.