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Rectilinear Kinematics with Piecewise Constant Acceleration

Engineering Mechanics Dynamics · Engineering Mechanics – Dynamics: Rectilinear Kinematics with Piecewise Constant Acceleration

Course: Engineering Mechanics Dynamics Book: Engineering Mechanics – Dynamics: Rectilinear Kinematics with Piecewise Constant Acceleration

Question

An airplane lands on a straight runway, originally traveling at 110 ft/s when $s = 0$. It is subjected to the following piecewise-constant decelerations: $$a = 0 \text{ ft/s}^2 \quad 0 \le t < 5 \text{ s}$$ $$a = -3 \text{ ft/s}^2 \quad 5 \le t < 15 \text{ s}$$ $$a = -8 \text{ ft/s}^2 \quad 15 \le t < 20 \text{ s}$$ $$a = -3 \text{ ft/s}^2 \quad 20 \le t \le t'$$ Determine the time $t'$ needed to stop the plane and construct the $s$–$t$ graph for the motion.

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