MATH 123 AP Calculus AB – Unit 4 verified questions

AP Calculus AB – Unit 4 – HW #1 Name: _____________________________
Position, Velocity, & Acceleration Period: ______ Date: _______________

Complete all problems. Be sure to show work (if necessary) and justify your answer.


A bug crawls along the y-axis.
His POSITION at time t
(where 0 ≤ t ≤ 10)
is given by the function y (t),
which is graphed to the right.
1. Sketch & LABEL the graphs of
the velocity function, v (t), and
the acceleration function, a (t),
on the axes given.


2. What is the bug’s average velocity between t = 0 and t = 4? Show your work.




3. When, if ever, is the bug moving upward? Justify your answer, referring only to the given
graph, y (t). (Do not base your justification on your graphs of v or a.)




4. At t = 6, is the bug’s velocity positive, negative, or zero? Justify your answer, referring only to
the given graph, y (t). (Do not base your justification on your graphs of v or a.)




5. At t = 6, is the bug’s acceleration positive, negative, or zero? Justify your answer, referring only
to the given graph, y (t). (Do not base your justification on your graphs of v or a.)




6. At t = 6, is the bug’s speed increasing, decreasing, or neither? Justify your answer, referring to
your previous two answers.




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