In this problem, we need to remember the concept of Newton's second law:

$\overline{){\mathbf{\Sigma}}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

To visualize the sum of forces, ΣF, we consider the free-body diagram below:

A clarinetist, setting out for a performance, grabs his 3.49-kg clarinet case (including the clarinet) from the top of the piano and carries it through the air with an upward force of 35.9 N. Find the case's vertical acceleration. Indicate an upward acceleration as positive and a downward one as negative.

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