Rectilinear Kinematics: Distance, Velocity, and Acceleration

Calculus · Calculus — University

Question

The position of a particle along a straight-line path is defined by $$s(t) = t^3 - 6t^2 - 15t + 7 \text{ ft}$$ where $t$ is in seconds. Determine the total distance traveled when $t = 10$ s. Find the particle's average velocity, average speed, and the instantaneous velocity and acceleration at $t = 10$ s.

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