Edexcel A-Level Physics Trend or Pattern Analysis

Review trend or pattern analysis in Edexcel A-Level Physics through graph criticism, proportionality checks and estimates from plotted data.

Exam points

test inverse proportionality by comparing products or proportional changes from graph data
estimate values from a plotted trend and criticise whether results support the pattern

[Maximum number: 3]

A ball rolls along a U-shaped track. The ball oscillates in a vertical plane as shown.

Figure for Question 6.5.4 - Trend or pattern question 1 — Edexcel A-Level Physics A2

A student determined the time period T for different values of the distance D. She obtained the results shown in the table.

She predicts that for these oscillations

$T\propto\sqrt{D}.$

Show that her results are consistent with this prediction.

Table for Question 6.5.4 - Trend or pattern question 1 — Edexcel A-Level Physics A2

Use of $T=k \sqrt{ } D$

Or
$T^{2}=k D$

Three relevant calculations shown

[minimum 2 s.f.]

Comment consistent with comparing calculations [dependent MP2]

[Accept other valid routes]

Example of calculation
$k=0.78 / \sqrt{ } 0.235=1.61$ $k=0.94 / \sqrt{ } 0.335=1.62$ $k=1.09 / \sqrt{ } 0.445=1.63$

As these values are consistent the prediction is correct.

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6.5.4 - Trend or pattern question 1