3. The velocity of an object travelling in one dimension is given by the function: v(t) = -3.50t2 + 1.70t – 2 where t is in seconds and v is in m/s. Does the object speed up, slow down, or momentarily stop at t = 2.00 s? Show why/why not.

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

The velocity of an object traveling in one dimension is given by the function:

\[ v(t) = -3.50t^2 + 1.70t - 2 \]

where \( t \) is in seconds and \( v \) is in m/s.

**Question:**

Does the object speed up, slow down, or momentarily stop at \( t = 2.00 \) s? Show why/why not.
Transcribed Image Text:**Problem Statement:** The velocity of an object traveling in one dimension is given by the function: \[ v(t) = -3.50t^2 + 1.70t - 2 \] where \( t \) is in seconds and \( v \) is in m/s. **Question:** Does the object speed up, slow down, or momentarily stop at \( t = 2.00 \) s? Show why/why not.
**Problem Statement:**

Vectors \(\vec{A}\) and \(\vec{B}\) are pictured in the coordinate system below. Find the magnitude and direction (clearly define your angle!) of \(\vec{A} - 2\vec{B}\). 

*Note: Please refer to the graph or diagram provided in the coordinate system to analyze vectors \(\vec{A}\) and \(\vec{B}\) for solving the problem.*

**Explanation:**

- **Coordinate System:** The coordinate system should depict the vectors \(\vec{A}\) and \(\vec{B}\) with their respective magnitudes and directions.
- **Vector Operation:** You are tasked to compute \(\vec{A} - 2\vec{B}\), which involves finding vectors after scaling and subtraction.
- **Magnitude Calculation:** Use the Pythagorean theorem or vector magnitude formula to find the length of the resultant vector.
- **Direction Calculation:** Clearly define the angle of the resultant vector with reference to a fixed axis, usually the positive x-axis, using trigonometric functions.

Make sure to understand how these vectors interact in the given diagram to solve effectively.
Transcribed Image Text:**Problem Statement:** Vectors \(\vec{A}\) and \(\vec{B}\) are pictured in the coordinate system below. Find the magnitude and direction (clearly define your angle!) of \(\vec{A} - 2\vec{B}\). *Note: Please refer to the graph or diagram provided in the coordinate system to analyze vectors \(\vec{A}\) and \(\vec{B}\) for solving the problem.* **Explanation:** - **Coordinate System:** The coordinate system should depict the vectors \(\vec{A}\) and \(\vec{B}\) with their respective magnitudes and directions. - **Vector Operation:** You are tasked to compute \(\vec{A} - 2\vec{B}\), which involves finding vectors after scaling and subtraction. - **Magnitude Calculation:** Use the Pythagorean theorem or vector magnitude formula to find the length of the resultant vector. - **Direction Calculation:** Clearly define the angle of the resultant vector with reference to a fixed axis, usually the positive x-axis, using trigonometric functions. Make sure to understand how these vectors interact in the given diagram to solve effectively.
Expert Solution
Step 1

Velocity is rate of change of distance . it is measured in m/s.

Velocity of an object travelling in one direction is given by 

vt=-3.50t2+1.70t-2

GIVEN 

t=2.00 s

 

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