Rocket Dog#
A rocket dog has a position along a straight track given by:
\(x(t)\) = \(3t^3 - 8t^2 - 8t\)
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 \(t\) = 5 \(\rm{s}\).
Answer Section#
Please enter in a numeric value in \(\rm{m/s}\).
Part 4#
At time \(t = \) 5 \(\rm{s}\), 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.
