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Kinematics of a Particle: Velocity, Position, and Total Distance via Integration

Engineering Mechanics Dynamics · Engineering Mechanics — Dynamics — University

Course: Engineering Mechanics Dynamics Book: Engineering Mechanics — Dynamics — University

Question

The acceleration of a particle as it moves along a straight line is given by $a = (2t - 1)$ m/s², where $t$ is in seconds. If $s = 1$ m and $v = 2$ m/s when $t = 0$, determine the particle's velocity and position when $t = 6$ s. Also, determine the total distance the particle travels during this time period.

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