Needs the graph diagram

Question

ScanSolve AI Tutor · Accepted Answer

Here is the graph diagram based on the data calculated previously.

The completed data points for plotting $(T^2, h)$ are:
$(5.00, 20.0)$ , $(4.18, 40.0)$ , $(3.44, 60.0)$ , $(2.62, 80.0)$ , $(1.89, 100.0)$ .

Draw the axes and label them.
The horizontal axis is $T^2$ (s²) and the vertical axis is $h$ (cm).
Choose appropriate scales.
For $T^2$ : The range is from approximately 1.89 to 5.00. A scale from 0 to 6 s² would be suitable.
For $h$ : The range is from 20.0 to 100.0. A scale from 0 to 110 cm would be suitable.
Plot the points and draw the best-fit line.
The graph shows $h$ on the vertical axis against $T^2$ on the horizontal axis. The points are plotted, and a straight line is drawn to best fit these points, indicating a linear relationship with a negative gradient.
\begin{tikzpicture}[scale=0.8] % Axes \draw[->] (0,0) -- (7,0) node[right] {$T^2$ (s$^2$)}; \draw[->] (0,0) -- (0,12) node[above] {$h$ (cm)}; % X-axis ticks and labels \foreach \x in {1,2,3,4,5,6} \draw (\x, -0.1) -- (\x, 0.1) node[below] {\x}; % Y-axis ticks and labels \foreach \y in {2,4,6,8,10} \draw (-0.1, \y) -- (0.1, \y) node[left] {\pgfmathparse{\y*10}\pgfmathprintnumber{\pgfmathresult}}; % Data points (T^2, h) % (5.00, 20.0) -> (5, 2) % (4.18, 40.0) -> (4.18, 4) % (3.44, 60.0) -> (3.44, 6) % (2.62, 80.0) -> (2.62, 8) % (1.89, 100.0) -> (1.89, 10) \fill (5, 2) circle (2pt) node[above right] {}; \fill (4.18, 4) circle (2pt) node[above right] {}; \fill (3.44, 6) circle (2pt) node[above right] {}; \fill (2.62, 8) circle (2pt) node[above right] {}; \fill (1.89, 10) circle (2pt) node[above right] {}; % Best-fit line (approximated) \draw[thick, blue] (1.5, 10.5) -- (5.5, 1.5); \end{tikzpicture}
The graph shows a straight line with a negative gradient.

Needs the graph diagram

Step-by-step solution

Draw the axes and label them.

Choose appropriate scales.

Plot the points and draw the best-fit line.

Still stuck on this one?

More Physics Questions