The equation of motion of a particle is [math] where [math] is in meters and [math] is in seconds. Assuming that [math] answer the following questions.


1. Find the velocity [math] as a function of [math]
Answer: [math]

2. Find the acceleration [math] as a function of [math]
Answer: [math]

3. Find the acceleration after [math] seconds.
Answer (in [math]): [math]

4. Find the acceleration when the velocity is [math]
Answer (in [math]): [math]