A particle moves along a straight line such that its acceleration is given by m/s

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

Problem

A particle moves along a straight line such that its acceleration is given by

a = 12t

m/s

^{2}

. At

t = 0

it is at the origin and has velocity

5

m/s. Which of the following gives its displacement

s

(in metres) as a function of time

t

(in seconds)? (a)

s = 6t^{3} + 5t

(b)

s = 6t^{2} + 5t

(c)

s = 2t^{3} + 5t

(d)

s = 2t^{3}