A car is placed in a wind tunnel and the drag force $F$ for different wind speeds, v, in appropria

Question

A car is placed in a wind tunnel and the drag force $F$ for different wind speeds, v, in appropriate units, is recorded. The results are shown in the table.

$v$	$0$	$4$	$8$	$12$	$16$	$20$	$24$	$28$	$32$	$36$
$F$	$0$	$2.5$	$5.1$	$8.8$	$11.2$	$13.6$	$17.6$	$22.0$	$27.8$	$33.9$

Draw the scatter diagram for these values, labeling the axes clearly.
It is thought that the drag force $F$ can be modeled by one of the formulae
$F=a+bv$ or $F=c+d{{v}^{2}}$
Use your answer to part (i) to explain which of $F=a+bv$ or $F=c+d{{v}^{2}}$ is the better model.

Accepted Answer

(ii) $F=c+dv^2$ is the better model.

N2010 P2 Q10 [Modified]

N2010 P2 Q10 [Modified]

Video Solution:

Solution 1