Leaving Cert Calculus Applications Set D Questions - L.C. Maths

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Start with the quiz…

Knowledge Check Quiz

EXAMS.IE

Rates of Change

Hint

\(v=\dfrac{ds}{dt}\)

1 / 5

Which of the following is the definition of speed?

The rate of change of acceleration with respect to distance.

The rate of change of distance with respect to time.

The rate of change of acceleration with respect to time.

The rate of change of distance with respect to acceleration.

\(v=\dfrac{ds}{dt}\)

That's right!

\(v=\dfrac{ds}{dt}\)

Hint

\(a=\dfrac{dv}{dt}\)

2 / 5

Which of the following is the definition of acceleration?

The rate of change of distance with respect to time.

The rate of change of speed with respect to distance.

The rate of change of speed with respect to time.

The rate of change of distance with respect to speed.

\(a=\dfrac{dv}{dt}\)

That's right!

\(a=\dfrac{dv}{dt}\)

Hint

\(v=\dfrac{ds}{dt}\)

3 / 5

If \(s(t)=3t\), the speed of the object is zero.

True

False

\(v=\dfrac{ds}{dt}\)

That's right!

\(v=\dfrac{ds}{dt}\)

Hint

\(a=\dfrac{d^2s}{dt^2}\)

4 / 5

If \(s(t)=3t\), the acceleration of the object is zero.

True

False

\(a=\dfrac{d^2s}{dt^2}\)

That's right!

\(a=\dfrac{d^2s}{dt^2}\)

Hint

The derivative of \(e^t\) is \(e^t\).

5 / 5

If \(v(t)=5e^t\), the speed and acceleration of the object is the same at all times.

True

False

The derivative of \(e^t\) is \(e^t\).

That's right!

The derivative of \(e^t\) is \(e^t\).

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