# Problem: A 4.00-kg particle moves along the x axis. Its position varies with time according to x = t + 2.0t 3 , where x is in meters and t is in seconds. Find(a) the kinetic energy of the particle at any time t(b) the acceleration of the particle and the force acting on it at time t(c) the power being delivered to the particle at time t(d) the work done on the particle in the interval t= 0 to t = 2.00 s

🤓 Based on our data, we think this question is relevant for Professor Paddock's class at UCSD.

###### Problem Details

A 4.00-kg particle moves along the x axis. Its position varies with time according to x = t + 2.0t 3 , where x is in meters and t is in seconds. Find
(a) the kinetic energy of the particle at any time t
(b) the acceleration of the particle and the force acting on it at time t
(c) the power being delivered to the particle at time t
(d) the work done on the particle in the interval t= 0 to t = 2.00 s

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Power concept. You can view video lessons to learn Instantaneous Power . Or if you need more Instantaneous Power practice, you can also practice Instantaneous Power practice problems.

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What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Paddock's class at UCSD.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Physics for Scientists and Engineers - Serway Calc 9th Edition. You can also practice Physics for Scientists and Engineers - Serway Calc 9th Edition practice problems.