Paper 4 (9164, Section B) · November 2004 · Kinematics

The $(t,\ x)$ graph for a particle moving along a straight line starts at $x=-4$ m when $t=0$ and finishes at $x=-2$ m when $t=7$ s, where x metres is the displacement from a fixed origin. Find the average velocity of the particle, in ms $^{-1}$ .

Model answer

2/7

Also accepted: 0,286, 0.286, 0,29, 0.29, 0,2857, 0.2857, 2/7 ms^-1

Explanation

Average velocity is the change in displacement divided by the time taken, not the distance travelled divided by the time. The particle moves from

-4

m to

-2

m, a change of

-2-(-4)=2

m, over 7 s, so the average velocity is

\dfrac{2}{7}=0.286

^{-1}

Derived from ZIMSEC Mathematics 9164/4 Paper 4, November 2004, Q12

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The (t, x)(t,\ x)(t, x) graph for a particle moving along a straight line starts at x=−4x=-4x=−4 m when t=0t=0t=0 and finishes at x=−2x=-2x=−2 m when t=7t=7t=7 s, where x metres is the displacement from a fixed origin. Find the average velocity of the particle, in ms−1^{-1}−1.

More questions from this paper

Get the full paper, not just one question

The $(t,\ x)$ graph for a particle moving along a straight line starts at $x=-4$ m when $t=0$ and finishes at $x=-2$ m when $t=7$ s, where x metres is the displacement from a fixed origin. Find the average velocity of the particle, in ms $^{-1}$ .