UnofficialAP Calculus ABUnit 49 points

AP Calculus AB FRQ: Particle Motion on a Line

A 9-point free-response question in 4 parts. Write your answer, then score it with the rubric; the model answer appears when you are ready.

Question

A particle moves along the

x

-axis so that its velocity at time

t

v(t) = t^2 - 6t + 8

for

0 \le t \le 5

. At

t = 0

the particle is at

x = 2

.(a) Find the acceleration of the particle at

t = 3

.(b) For what values of

t

0 < t < 5

is the particle moving to the left? Justify your answer.(c) Find the position of the particle at

t = 3

.(d) Find the total distance the particle travels from

t = 0

t = 5

Your answer

Label each part (a), (b), (c)... and show the work that justifies it. Saved in this browser as you type.