Quantitative Reasoning and Problem Solving Questions and Answers

Figures 1 and 2 provide some information about a model of the relationship between leg length (L), stride length (S) and speed (v) of various animals. For any individual, stride length and speed can vary, but leg length is fixed.
Figure 2 relates Relative Stride Length ( S/L) to a parameter known as the Froude Number (v/√gL).
The line of best fit shown was obtained from individuals, travelling at various speeds, of a number of
four-legged and two-legged animal species. Also shown are three points based on values obtained from
individuals of three species.
• L and S are in metres (m)
• v is in metres per second (m s−1)
• g is acceleration due to gravity on Earth and is approximately equal to 10 m s−2

1 .If an animal has a Relative Stride Length of more than 2, it is considered to be running.
Which of the individual animals shown in Figure 2 was running?
a. the elephant only
b. the rhinoceros only
c. the camel and the rhinoceros
d. the elephant and the rhinoceros

2. For the line of best fit, the ratio of Relative Stride Length to Froude Number is approximately
a. 4:1 .
b. 1:2 .
c. 2:1 .
d. 1:1

3. Based just on Figure 2, which of the individual animals shown had the greatest leg length?
a. rhinoceros

b. camel
c. elephant
d. There is insufficient information provided to answer this question.

4. According to the line of best fit, two animals with the same Froude Number must have
approximately the same value for
a. S/L.
b. L only.
c. v only.
d. both v and L

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