ap-calculus-ab 1998 Q2

ap-calculus-ab · USA · free-response_formB Constant acceleration (SUVAT) Multi-part particle motion analysis (formula-based velocity)

A particle moves along the $X$-axis so that at time $t$ its position is given by $x ( t ) = t ^ { 3 } - 6 t ^ { 2 } + 9 t + 11$. (a) What is the velocity of the particle at $t = 0$ ? (b) During what time intervals is the particle moving to the left? (c) What is the total distance traveled by the particle from $t = 0$ to $t = 2$ ?

$\begin{cases} 1 : & \text { equation in } h \\ 1 : & \text { answer } \end{cases}$

A particle moves along the $X$-axis so that at time $t$ its position is given by $x ( t ) = t ^ { 3 } - 6 t ^ { 2 } + 9 t + 11$.
(a) What is the velocity of the particle at $t = 0$ ?
(b) During what time intervals is the particle moving to the left?
(c) What is the total distance traveled by the particle from $t = 0$ to $t = 2$ ?

Paper Questions

Q1 Q2 Q3 Q4 Q5