Rates of Change (Leaving Cert Applied Maths): Quizzes

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Rates of Change
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What do rates of change measure?

How quickly a quantity changes over time

What type of rate does differentiation measure?

Instantaneous rate

How do you find speed from a distance function?

Differentiate distance once

How do you find acceleration from a velocity function?

Differentiate velocity

In the kinematic chain, which direction does differentiation move?

Distance → speed → acceleration

What is the velocity at maximum height in projectile motion?

Zero

Given a velocity function, how do you find distance?

Integrate velocity

Given an acceleration function, how do you find velocity?

Integrate once

With uniform acceleration, what form is the velocity function?

Linear (first degree in tt)

With uniform acceleration, what form is the distance function?

Quadratic (involves t2t^2)

What should you use to find the constant of integration?

Initial conditions

What is the typical acceleration due to gravity used in problems?

−9.8 m/s2-9.8 \text{ m/s}^2 or −10 m/s2-10 \text{ m/s}^2

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