Question

the height of isometrics eraser can be described by the following graph. whose eraser was dropped from a higher point? (show your work here) table with time (t) and height (h) values: t: 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6; h: 14, 13.84, 13.36, 12.56, 11.44, 10, 8.24

Explanation:

Step1: Analyze the graph and table

The graph shows the height of an eraser over time, and the table provides height values at different times. The initial height (when time \( t = 0 \)) represents the drop height.

Step2: Compare initial heights

From the table, when \( t = 0 \), the height \( h \) for one eraser is 14 (assuming the top curve) and for the other (bottom curve) is lower (since at \( t = 0 \), the bottom curve starts at a lower height). Wait, actually, looking at the table, when \( t = 0 \), \( h = 14 \) for one, and the other's initial height? Wait, maybe the two curves: the top curve starts at a higher \( t = 0 \) height? Wait, no, the table has \( t \) and \( h \). Let's check \( t = 0 \): \( h = 14 \). Then as \( t \) increases, \( h \) decreases. The other curve (lower one) starts at a lower height? Wait, no, the graph has two curves? Wait, the blue curve is a parabola opening downward? Wait, no, the graph shows two curves? Wait, maybe the two erasers: one with initial height 14 (from table, \( t = 0 \), \( h = 14 \)) and the other? Wait, the table has \( t \) and \( h \) values. Let's list the table:

\( t \)	0	0.1	0.2	0.3	0.4	0.5	0.6

So this is the height of one eraser. The other curve (the lower blue line) starts at a lower initial height. So the eraser with the height values from the table (starting at \( h = 14 \) when \( t = 0 \)) was dropped from a higher point because its initial height (drop height) is 14, which is higher than the initial height of the other eraser (the lower curve starts at a lower \( h \) when \( t = 0 \)).

Answer:

The eraser with height values given in the table (starting at \( h = 14 \) when \( t = 0 \)) was dropped from a higher point. (Or, if we consider the two curves, the upper curve's eraser, since its initial height is higher.)