In this problem, we are given an acceleration function. We need to determine the position function with the aid of the diagram below:

2D&3D Motion with Calculus

$\mathit{P}\begin{array}{c}{\mathbf{\leftarrow}}\\ {\mathbf{\to}}\end{array}\underset{\frac{\mathit{d}}{\mathit{d}\mathit{t}}}{\overset{{\mathbf{\int}}{\mathit{d}}{\mathit{t}}}{\mathit{V}}}\begin{array}{c}{\mathbf{\leftarrow}}\\ {\mathbf{\to}}\end{array}\mathit{A}$

A small object moves along the x-axis with acceleration ax(t) =-(0.0320m/s3)(15.0s-t). at t=0 the object is at x=-14.0m and has velocity v_{0x} =4.50 m/s.

What is the x-coordinate of the object when t=10.0s?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Position Functions and Instantaneous Velocity concept. You can view video lessons to learn Position Functions and Instantaneous Velocity. Or if you need more Position Functions and Instantaneous Velocity practice, you can also practice Position Functions and Instantaneous Velocity practice problems.