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Suppose an object is moving along a one-dimensional position axis. The object starts its motion at t = 0 at the position x = 0 and with velocity v = 0. It has an acceleration of +2.0 m/s 2. After 4.0 seconds, the object's acceleration instantaneously changes to - 2.0 m/s 2. Plot velocity and position versus time graphs for the first 8.0 seconds of the object's motion.

System: The object will be treated as a point particle.

Model: One-Dimensional Motion with Constant Acceleration.

Approach: We will use the model twice. Once to describe the motion from t = 0 seconds to t = 4.0 seconds, and once more to describe the motion from t = 4.0 seconds to t = 8.0 seconds.