MATH 123 Unit 4 – AP Practice Problems: Position, Velocity, and Acceleration

Unit 4 – AP Practice Problems:
Position, Velocity, and Acceleration

Four problems appear on the following pages.




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, I. AB 2012 #6 – No Calculator

For 0 ≤ t ≤ 12, a particle moves along the x-axis. The velocity of the particle at time t
( )
is given by v(t ) = cos π6 t . The particle is at position x = –2 at time t = 0.



(a) For 0  t  12, when is the particle moving to the left?




(b) Part (b) of this question uses concepts we haven’t studied yet.



(c) Find the acceleration of the particle at time t. Is the speed of the particle increasing,
decreasing, or neither at time t = 4? Explain your reasoning.




(d) Part (d) of this question uses concepts we haven’t studied yet.



(continued on next page)
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