A15.00 kg particle starts from the origin at time zero. its velocity as a function of time is given by = 8t2î + 5tĵ where is in meters per second and t is in seconds. (use the following as necessary: t.) (a) find its position as a function of time.

The position as a function of time is expressed as

Given the velocity function;

v(t) is the velocity at a time t

t is the time taken:

To get the position as a function of time, we will have:

Substitute the given limits into the function'

Hence the position as a function of time is expressed as

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Explanation:

I will assume the equation reads:

v = 8t²î + 5tĵ

The velocity v is the time derivative of the position x.

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