Acceleration of a Particle#

The position of a particle in \(m\) is given by the function \(x = \)7\(t^3\) - 9\(t^2\) - 29, where \(t\) is in \(s\).

As you solve the questions below, you will be asked to find several times (\(t_1\), \(t_2\), \(t_3\), etc…) based on certain conditions.

Part 1#

At what time is \(v_x = 0\) \(m/s\)? Enter \(t_1\), the smallest of the values (if there is more than one).

Answer Section#

Please enter in a numeric value in \(s\).

Part 2#

At what time after \(t_1\) is \(v_x = 0\) \(m/s\) again? Enter \(t_2\), the next value.

Answer Section#

Please enter in a numeric value in \(s\).

Part 3#

What is the particle’s acceleration at the time \(t_1\)? Enter \(a\_{x,1}\), the acceleration corresponding to \(t_1\).

Answer Section#

Please enter in a numeric value in \(m/s^2\).

Part 4#

What is the particle’s acceleration at the time \(t_2\)? Enter \(a\_{x,2}\), the acceleration corresponding to \(t_2\).

Answer Section#

Please enter in a numeric value in \(m/s^2\).

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.