How would you expect a velocity vs. time graph to look for a cart moving with a constant velocity? Make a rough sketch of the graph and explain your reasoning. Write down an equation for the graph. Explain what the symbols in each of the equations mean. What quantities in these equations can you determine from your graph?
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.
- How would you expect a velocity vs. time graph to look for a cart moving with a constant velocity? Make a rough sketch of the graph and explain your reasoning. Write down an equation for the graph. Explain what the symbols in each of the equations mean. What quantities in these equations can you determine from your graph?
- Write down the relationship between the position and the velocity of the cart. Use that relationship to construct an position versus time graph just below each of your velocity versus time graphs from question 1, with the same scale for each time axis. Write down an equation for the new graph. Explain what the symbols in each of the equations mean. What quantities in these equations can you determine from your graph?
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