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AP Physics C: Mechanics Practice Test

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About the Real AP Physics C: Mechanics Exam

The AP Physics C: Mechanics exam is a college-level test administered by the College Board. Scoring a 3 or higher (on a 1-5 scale) can earn you college credit at thousands of universities, saving you time and tuition money. Over 3 million students take AP exams each year.

Our AP Physics C: Mechanics Practice Test

Our AP Physics C: Mechanics practice test contains 32 original multiple-choice questions matching the current AP Physics C: Mechanics exam format. Questions are aligned to the College Board's course description and reflect the same topic weighting, difficulty distribution, and question styles found on the real exam.

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AP Physics C: Mechanics — Sample
A particle moves along the x-axis. Its acceleration is given by \( a(t) = (6t - 12) \text{ m/s}^2 \). At time \( t=0 \text{ s} \), the particle's velocity is \( v(0) = 10 \text{ m/s} \) and its position is \( x(0) = 5 \text{ m} \). What is the position of the particle at \( t=3 \text{ s} \)?
A 3 m
B 8 m
C 21.5 m
D -22 m
Explanation. The correct answer is 8 m. To find the position \( x(t) \) from the acceleration function \( a(t) \), you must integrate twice. First, integrate \( a(t) \) to find the velocity function \( v(t) \). Given \( a(t) = 6t - 12 \), \( v(t) = \int (6t - 12) dt = 3t^2 - 12t + C_1 \). Using the initial condition \( v(0) = 10 \text{ m/s} \), you find \( C_1 = 10 \). So, \( v(t) = 3t^2 - 12t + 10 \). Next, i

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