# A particle moves along the x-axis. Its position varies with time according to x(t)...

### Document Description

Step by step solution to the problem:

"A 4.20 kg particle moves along the x-axis. Its position varies with time according to x(t) = t + 3.0t^3, where x is in meters and t in seconds:

a) Find the kinetic energy of the particle at any time t

b) Find the magnitude of the acceleration and the force acting on the particle at any time t

c) Find the power being delivered to the particle at any time t

d) Find the work done in the particle in the interval t = 0 to t = 1.5 seconds

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