The Position of an Object Is Given By $\overrightarrow { \mathbf { r } } = \left( - 4.00 t \hat { \mathbf { i } } + 6.00 t ^ { 3 } \hat { \mathbf { j } } \right) \mathrm { m }$

question 71

Multiple Choice

The position of an object is given by $\overrightarrow { \mathbf { r } } = \left( - 4.00 t \hat { \mathbf { i } } + 6.00 t ^ { 3 } \hat { \mathbf { j } } \right) \mathrm { m }$ where t is in seconds.At t = 2.0 s,what is the magnitude of the particle's acceleration?

• A)0 m/s²
• B)2.0 m/s²
• C)17 m/s²
• D)36 m/s²
• E)72 m/s²

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Definitions:

Quadratic Formula

A formula used to find the solutions of a quadratic equation, given as \(x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\).

Adjacent Rectangular Corrals

A configuration of rectangular enclosures that share a common side, often used in farming or livestock management scenarios.

Enclosed Region

An area that is completely surrounded or bounded by a boundary, such as a shape or curve in geometry.

Discriminant

In algebra, the discriminant is a quantity expressed in terms of the coefficients of a polynomial equation that can determine the nature and number of the roots.