## The graph on the next page shows the displacement of the block

## Class 11 physics | #20 displacement-time graphs

Hard data and mathematical functions can also be used to construct graphs. Using Origin’s built-in graph models, you can generate over 100 different graph forms. Each of these graphs was chosen for its possible use in a variety of technical fields.

The Plot menu offers access to all graph types. It’s worth noting that while most graph forms have a 2D Graphs or 3D and Contour Graphs toolbar icon, some don’t. The Plot menu should be your “go to” location for making graphs before you’ve had time to familiarize yourself with the available toolbar buttons.

Worksheet data is used to construct the most basic graph types in Origin, such as line, column/bar, and pie, as well as many of the more specialized types. Importing an ASCII data file and constructing a simple graph are demonstrated in the following short tutorial.

You can freely rotate the 3D surface by holding down the R key on your keyboard and using the mouse. Click on the layer with the pointer tool active for additional controls to shift, extend, and rotate the surface.

## A ray of light strikes a flat 2.00-cm-thick block of glass

The block’s displacement as a function of time is represented in the graph on the following page (this is the same mass-spring situation as problem 1 but with a different mass). 15 cm is the mean displacement. (The graph for this exercise can be found on page 7 of this lab.) Trace your solutions into your lab notebook from your completed diagrams, copy your solution, and fasten the copy into your notebook for your records.) Calculate the mass of the block ifk 150 N/m. b) Construct graphs for the motion’s velocity and acceleration. Label the maximum values of velocity and acceleration on the graphs, respectively. c) Construct a kinetic energy graph and measure and mark the maximum value. d) Construct an elastic potential energy graph, measure it, and mark it on the graph. e) For total energy, calculate the numerical value and draw the graph. the KE’s maximum value. the elastic PE’s maximum value.

### 11p03 – motion in a straight line – distance time graph

2. The graph on the following page depicts the block’s displacement as a function of time (but with a different mass). 15 cm is the mean displacement. (The graph for this exercise can be found on page 7 of this lab.) Trace your solutions into your lab notebook from your completed diagrams, copy your solution, and fasten the copy into your notebook for your records.) 15 Calculate the mass of the block if k = 150 N/m. b) Construct graphs for the motion’s velocity and acceleration. Label the maximum values of velocity and acceleration on the graphs, respectively. MCCELERATION MCCELERATION MCCELERATION MC A E c) Create a kinetic energy graph, measure the maximum value of the KE, and mark it on the graph. res EIJI d) Construct a graph for the elastic potential energy and calculate and mark the elastic PE’s maximum value. OPPORTUNITY e) For total energy, calculate the numerical value and draw the graph. Full

### Roller coaster physics problem, conservation of energy

In two or three dimensions, displacement and velocity are basic extensions of the one-dimensional concepts. However, since they are now vector quantities, calculations with them must obey vector algebra rules rather than scalar algebra rules.

We must first define a coordinate system and a convention for the axes before we can describe motion in two and three dimensions. To locate a particle at point P(x, y, z) in three dimensions, we normally use the coordinates x, y, and z. The variables x, y, and z are functions of time (t) if the particle is moving:

From the origin of the coordinate system to point P, the location vector is [latex] oversetto r. (t). (latex) [latex] oversetto r in unit vector notation, which was introduced in Coordinate Systems and Components of a Vector (t) [/latex] is a typeface.