Kinematics

Classical Mechanics Level pending

A spaceship is travelling in a straight line. The \(x\)-component of the acceleration of the spaceship at time \(t\) is known to be \(a(t)=12t^3−2\) with the acceleration \(a\) measured in meters per second squared and \(t\) measured in seconds.

It is also known that the \(x\)-component of the velocity of the spaceship at \(t=6.0 \text{ s}\) is \(−6.0 \text{ m/s}\). Find the velocity at \(t=0\).

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