Question

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.

Answer 1

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

Answer 2

Thank you.