Velocity and acceleration as rates of change (HSC SSCE Mathematics Extension 1): Flashcards

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Velocity and Acceleration as Rates of Change
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What is velocity in kinematics?

Velocity is speed with direction; can be positive or negative.

How is speed defined in kinematics?

Speed is how fast something moves, always positive.

What does positive acceleration indicate?

Positive acceleration means an object is speeding up.

What is the formula for average acceleration?

a_avg = (v(t+h) - v(t)) / h.

How is instantaneous acceleration defined?

a(t) = lim(h -> 0) (v(t+h) - v(t)) / h.

What does 'initially' mean in kinematics?

'Initially' refers to time t = 0.

What does 'at rest' mean in motion?

'At rest' means velocity v = 0.

What does constant velocity imply?

Constant velocity means acceleration a = 0.

What is the unit for acceleration?

The unit for acceleration is m/s².

What does velocity tell us about displacement?

Velocity shows how displacement changes over time.

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