Rocket Dog#

A rocket dog has a position along a straight track given by:

\(x(t)\) = \(-t^3 + 2t^2 - 8t\)

where \(x\) is in metres and \(t\) is in seconds.

Part 1#

What is the velocity of the rocket dog as a function of time?

Use the following table as a reference:

\(Variable\)

Use

\(t\)

t

Answer Section#

Please enter the equation for velocity.

Part 2#

What is the acceleration of the rocket dog as a function of time?

Use the following table as a reference:

\(Variable\)

Use

\(t\)

t

Answer Section#

Please enter the equation for acceleration.

Part 3#

Calculate the average velocity of the rocket dog between \(t = 0\) \(\rm{s}\) and \(t\) = 10 \(\rm{s}\).

Answer Section#

Please enter in a numeric value in \(\rm{m/s}\).

Part 4#

At time \(t = \) 10 \(\rm{s}\), is the rocket dog moving towards the origin or away from the origin?

Answer Section#

  • The rocket dog is moving towards the origin.

  • The rocket dog is moving away from the origin.

Part 5#

Justify your answer to Part 4.

Answer Section#

Answer in 1-2 sentences, and try to use full sentences.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.