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A particle has a constant acceleration of a = axi + ayj and at t =...

A particle has a constant acceleration of a = axi + ayj and at t = 0 it is at rest at the origin

What is the particle’s position as a function of time?

What is the particle’s velocity as a function of time?

What is the particle’s path, expressed as y as a function of x?

The position of a particle is given by r = (at2)i + (bt3)j + (ct-2)k, where a, b, and c are constants.

What is the velocity as a function of time?

What is the acceleration as a function of time?

Suppose a = 5.79 m/s2, b = -3.43 m/s3, and c = -84.9 ms2. What is the particle’s speed, in m/s, at t = 2.08 s?

Referring to the values given in part (c), what is the magnitude of the particle’s acceleration, in m/s2, at t = 2.08 s?

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