The velocity of a particle constrained to move along the x-axis as a function of timet is given by: v(t)=-(19/to)sin(t/to). Part A If the particle is at x=7 m when t = 0, what is its position at t = 6to. You will not need the value of to to solve any part of this problem. If it is bothering you, feel free to set to = 1 everywhere. Express your answer to 3 significant figures.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![**Velocity Problem of a Particle Moving Along the X-axis**
The velocity of a particle constrained to move along the x-axis as a function of time \( t \) is given by:
\[ v(t) = -\left( \frac{19}{t_0} \right) \sin(t/t_0). \]
**Part A**
Given:
- The particle is at \( x = 7 \) m when \( t = 0 \).
Problem:
- Find its position at \( t = 6t_0 \).
- Note: You will not need the value of \( t_0 \) to solve any part of this problem. If it is bothering you, feel free to set \( t_0 = 1 \) everywhere.
Instructions:
- Express your answer to 3 significant figures.
**Interactive Widgets and Response:**
- Input field for numerical answer, measured in meters (m).
- Submitted response: **6.896 m**
- Result: **Incorrect; Try Again**. (4 attempts remaining)
**Hints:**
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