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Kinematics with Variable Acceleration: Finding Distance Traveled

Calculus · Calculus — University

Course: Calculus Book: Calculus — University

Question

A sphere is fired downwards into a medium with an initial speed of 27 m/s. It experiences a deceleration of $a = -6t$ m/s², where $t$ is in seconds. Determine the distance traveled before the sphere stops.

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