NOTE: this is for advanced functions, NOT physics
A 2m length of board rests with one end on the floor and the other end on a small stack of bricks. A baseball is rolled up the board and back down again in a total of 4 seconds. The farthest the baseball reached on the board was 130cm.
Draw a graph of this. [distance time]
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I would appreciate it if someone could tell me the general shape or link me to a graph made on a graphing site.
well, it's a parabola, with
y(0) = 0
y(4) = 0
so we know that the max height is reached at y=2.
y(2) = 130
so, the vertex is at (2,130)
y(t) = -a(t-2)^2 + 130
Now, we know that y(0) = 0, so
0 = -a(4)+130
a = 130/4
y(t) = -130/ (t-2)^2 + 130
visit http://rechneronline.de/function-graphs/
and type in
-130/4 * (x-2)^2 + 130
set the x interval to 0,4
and y to 0,150
and you will see the graph
Thank you.
To draw a graph of the distance vs. time for the given scenario, you need to follow these steps:
1. Determine the time intervals: In this case, we know that the baseball took a total of 4 seconds to roll up and back down the board. To create a graph, you can divide this time into equal intervals. For simplicity, let's choose 1-second intervals.
2. Divide the distance: Since the farthest the baseball reached on the board was 130cm, we can divide this distance into equal parts to match the time intervals. In this case, we can divide the distance into four equal parts of 32.5cm each.
3. Plot the graph: On a graph paper or on a graphing application, draw the x and y-axis. Label the x-axis as time (in seconds) and the y-axis as distance (in centimeters). Plot the points that correspond to the time intervals and the distance traveled during those intervals. Connect the points with a smooth curve to get the graph.
Since you requested a link to a graphing site, you can use online tools like Desmos (www.desmos.com) or GeoGebra (www.geogebra.org) to plot the graph. Simply input the time intervals and corresponding distances into the graphing tool, and it will generate the graph for you.
Please note that without the specific data for each time interval, it is difficult to provide a more precise graph for the given scenario.