# 2018年AP微积分AB真题及下载-简答题(FRQ)部分

2019-05-05 21:55 三立在线

“刷百题不如精做真题”。近期，三立小编为大家整理了2010-2018年AP各科考试真题大全，以帮助大家更好准备考试。今天，小编为大家带来的是2018年AP微积分AB真题及下载-简答题(FRQ)部分，希望对备考的你有所帮助！

1.    People enter a line for an escalator at a rate modeled by the function r given by

where r(t) is measured in people per second and t is measured in seconds. As people get on the escalator, they exit the line at a constant rate of 0.7 person per second. There are 20 people in line at time t =   0.

(a)  How many people enter the line for the escalator during the time interval 0 £  t £  300 ?

(b) During the time interval 0 £ t £ 300, there are always people in line for the escalator. How many people are in line at time t =  300 ?

(c)  For t >  300, what is the first time t that there are no people in line for the escalator?

(d) For 0 £ t £ 300, at what time t is the number of people in line a minimum? To the nearest whole number, find the number of people in line at this time. Justify your answer.

2.     A particle moves along the x-axis with velocity given by v(t) = 10 sin(0.4t2) for time 0 £  t £  3.5. t2 − t + 3

The particle is at position x = −5 at time t = 0.

(a)  Find the acceleration of the particle at time t =  3.

(b)  Find the position of the particle at time t =  3.3.5

(c) Evaluate ∫0the problem.3.5v(t) dt , and evaluate ∫0v(t)   dt . Interpret the meaning of each integral in the context of

(d) A second particle moves along the x-axis with position given by x2(t) = t2 − t for 0 £ t £ 3.5. At what time t are the two particles moving with the same velocity?

由于涉及到很多专业的特殊符号或者公式，文章可能存在小错误，我们再此为广大学员提供高清的PDF版本，供大家免费下载！