Resisted vertical motion (HSC SSCE Mathematics Extension 2): Flashcards

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Resisted Vertical Motion
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What is resisted vertical motion?

Movement with forces opposing gravity, like air resistance.

Define terminal velocity.

Stable speed when resistance equals gravity, no acceleration.

What is air resistance?

Force opposing motion due to air friction, varies with speed.

What is the gravitational force value?

Constant force pulling down at about 9.8 m/s².

How is mathematical modelling used?

Simulates and analyzes object movement under forces.

What forces act on a vertically moving object?

Gravitational force down, air resistance up, affecting motion.

What is linear resistance?

Resistance modeled as R = kv, applies at lower speeds.

What is quadratic resistance?

Resistance modeled as R = kv², significant at high speeds.

Why is terminal velocity important?

Balances forces, crucial for safety in activities like skydiving.

How does resistance affect acceleration?

Resistance reduces acceleration, leading to constant speed.

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