Velocity and Acceleration as Derivatives (HSC SSCE Mathematics Advanced): Quizzes

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Velocity and Acceleration as Derivatives
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What is the formula for instantaneous velocity?

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

What does the dot notation x˙\dot{x} represent?

dxdt\frac{dx}{dt} (velocity)

How is instantaneous speed related to velocity?

Speed = ∣v∣|v|

Which of these are vector quantities?

Displacement and velocity

When is a particle stationary?

When v=0v = 0

What is acceleration as a derivative of displacement?

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

What are the units of acceleration?

m/s² or ms⁻²

Which notation does NOT represent acceleration?

x˙\dot{x}

As t→∞t \to \infty, what happens to e−3te^{-3t}?

It approaches 0

With constant negative acceleration and positive velocity, the particle:

Slows down

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