2026 MSHS P1 Q6

Secondary 4

7 marks

The force, \(F\) Newtons, acting on a moving vehicle depends on its speed, \(s\) m/s and can be modelled by the formula \(F=As^k\), where \(A\) and \(k\) are constants. The table below shows corresponding values of \(s\) and \(F\).

\(s\)	2	4	6	8	10
\(F\)	6	22	50	80	150

Explain how a straight line graph can be drawn to represent the formula and draw the graph on the grid provided below.[4]
Use your graph to estimate the values of \(A\) and \(k\).[3]

Solution:

Solution locked

Similar questions are unavailable for this question.

Answer:(a) Plot \(\ln F\) against \(\ln s\). (b) \(A\approx1.49,\quad k\approx1.90\).

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