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Question 19N.3.SL.TZ0.c

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Date November 2019 Marks available [Maximum mark: 3] Reference code 19N.3.SL.TZ0.c
Level SL Paper 3 Time zone TZ0
Command term Determine Question number c Adapted from N/A
c.
[Maximum mark: 3]
19N.3.SL.TZ0.c

A student investigates how the period T of a simple pendulum varies with the maximum speed v of the pendulum’s bob by releasing the pendulum from rest from different initial angles. A graph of the variation of T with v is plotted.

The student hypothesizes that the relationship between T and v is T = a + bv2, where a and b are constants. To verify this hypothesis a graph showing the variation of T with v2 is plotted. The graph shows the data and the line of best fit.

Determine b, giving an appropriate unit for b.

[3]

Markscheme

use of 2 correct points on the line with Δv2 > 2 ✔

b in range 0.012 to 0.013 ✔

s3 m–2 ✔

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