Acceleration a:

$\overline{)\stackrel{\mathbf{\rightharpoonup}}{\mathit{a}}{\mathbf{\left(}}{\mathit{t}}{\mathbf{\right)}}{\mathbf{=}}\frac{\mathit{d}\stackrel{\mathbf{\rightharpoonup}}{\mathit{v}}\mathbf{\left(}\mathit{t}\mathbf{\right)}}{\mathit{d}\mathit{t}}}$

Power rule of differentiation:

$\overline{)\frac{\mathit{d}}{\mathit{d}\mathit{t}}\mathbf{\left(}{\mathit{x}}^{\mathit{n}}\mathbf{\right)}{\mathbf{=}}{\mathit{n}}{{\mathit{x}}}^{\mathit{n}\mathbf{-}\mathbf{1}}}$

A particle moving in the *x**y*-plane has velocity v =(2*t**i*+(3−*t*^{2})j) m/s, where *t* is in s.

**Part A**

What is the *x* component of the particle's acceleration vector at *t* = 6 s?

Express your answer with the appropriate units.

**Part B**

What is the *y* component of the particle's acceleration vector at *t* = 6 s?

Express your answer with the appropriate units.

Frequently Asked Questions

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 Instantaneous Acceleration in 2D concept. You can view video lessons to learn Instantaneous Acceleration in 2D. Or if you need more Instantaneous Acceleration in 2D practice, you can also practice Instantaneous Acceleration in 2D practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor De Grandi's class at UTAH.