At  t  x_0 is 2
= 3.0  s
, what is the particle's position?
Express your answer with the appropriate units.
View Available Hint(s)for Part A
Hint 1for Part A. How to approach the problem
Hint 2for Part A. Simplify: equation for displacement
Hint 3for Part A. Simplify: find displacement
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x
=
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Enter your answer using units of distance.
Part B
At  t
= 3.0  s
, what is the particle's velocity?
Express your answer with the appropriate units.
View Available Hint(s)for Part B
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vx
=
nothing
nothing
Part C
At  t

To solve the problem properly, I will need to approach each part step by step, starting from Part A to Part C. However, there seems to be missing information in the problem, such as the equations of motion or any initial conditions.

Here’s how to approach each part:

### Part A: Position at \( t = 3.0 \, \text{s} \)

The general equation for the position of a particle in one-dimensional motion is typically given by:
\[
x(t) = x_0 + v_0 t + \frac{1}{2} a t^2
\]
Where:
- \( x(t) \) is the position at time \( t \),
- \( x_0 \) is the initial position (which you said is 2 at time \( t = 0 \)),
- \( v_0 \) is the initial velocity (which is not provided but could be deduced if more information is given),
- \( a \) is the acceleration (which also isn’t provided),
- \( t \) is the time at which we are interested.

If we only know the position at time \( t = 3.0 \, \text{s} \) and lack other information, we need to assume constant velocity or get more details on velocity or acceleration.

### Part B: Velocity at \( t = 3.0 \, \text{s} \)

The velocity of a particle can be found by using the following equation:
\[
v(t) = v_0 + a t
\]
Where:
- \( v(t) \) is the velocity at time \( t \),
- \( v_0 \) is the initial velocity,
- \( a \) is the acceleration, and
- \( t \) is the time.

Without knowing \( v_0 \) and \( a \), this part also needs further information to proceed.

### Part C: Additional information

For Part C, it seems like you're asked to calculate another physical quantity like velocity, position, or acceleration, but to provide accurate responses, I would need to have the missing data or assumptions about the initial conditions.

### What would help:
- The exact motion equation for the particle, if known.
- Whether the particle is moving with constant velocity or has acceleration.
- Any given initial velocity or acceleration data.

Would you like me to guide you further using specific assumptions, or do you have additional details to share?

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Here are 5 related questions to consider:
1. How do we calculate the displacement of a particle under uniform acceleration?
2. How can we determine the velocity if we are given only initial and final positions?
3. How is acceleration related to velocity in kinematic equations?
4. What is the difference between average velocity and instantaneous velocity?
5. How can the motion of a particle be described using a velocity-time graph?

### Tip:
Remember that for constant velocity, the position changes linearly with time, while for constant acceleration, it changes quadratically with time.

At t = 3.0 s, what is the particle's position? Express your answer with the appropriate units. Also, what is the particle's velocity at t = 3.0 s?

This detailed solution helps you find the particle's position and velocity at t = 3.0 s using kinematic equations. Learn how to apply key formulas like displacement and velocity equations, essential for understanding motion in physics. Suitable for Grades 11-12.

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