Kinematics with Calculus: Position, Distance, and Acceleration

Calculus · Calculus — University

Question

The velocity of a particle traveling along a straight line is $v = 3t^2 - 6t$ ft/s, where $t$ is in seconds. If $s = 4$ ft when $t = 0$, determine the position of the particle when $t = 4$ s. What is the total distance traveled during the time interval $t = 0$ to $t = 4$ s? Also, what is the acceleration when $t = 2$ s?

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