Please answer and provide a free body diagram, thank you! 1. The position of a particle moving along the x-axis is given by x = t3 – 3t2 – 45t m where t is in seconds. Plot the x-t, v-t and a-t curves for 0 ≤ t ≤ 8 s. Determine the position, velocity and acceleration at t = 8s. Note: Consider the initial point for each curve,  start with the a-t curve, get t when when a is 0 and that corresponds to the max/min point in the v-t curve, and so on.

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Please answer and provide a free body diagram, thank you!

1. The position of a particle moving along the x-axis is given by x = t3 – 3t2 – 45t m where t is in seconds. Plot the x-t, v-t and a-t curves for 0 ≤ t ≤ 8 s.

Determine the position, velocity and acceleration at t = 8s.

Note: Consider the initial point for each curve,  start with the a-t curve, get t when when a is 0 and that corresponds to the max/min point in the v-t curve, and so on.

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