Applications to Motion in a Straight Line (VCE SSCE Mathematical Methods): Quizzes

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Applications to Motion in a Straight Line
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What direction is considered positive when measuring position from origin OO?

Right of origin

What type of quantity is displacement?

Vector quantity

A particle moves 5 units right then 7 left. What is the displacement?

2-2 units

How is instantaneous velocity calculated from position xx?

v=dxdtv = \frac{dx}{dt}

If velocity is negative, which direction is the particle moving?

To the left

What is the formula for average speed over time interval [t1,t2][t_1, t_2]?

distancet2t1\frac{\text{distance}}{t_2 - t_1}

Is average speed equal to the magnitude of average velocity?

No, especially when direction changes

What is acceleration in terms of position xx?

a=d2xdt2a = \frac{d^2x}{dt^2}

When do acceleration and velocity cause the particle to speed up?

When they have the same sign

Can a particle be at rest with non-zero acceleration?

Yes

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