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Displacement, velocity and Acceleration

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A body has an equation of motion measured in meters after t seconds such that
s =4/3t³ − 14t² + 40t + 8
a)When and where is the body momentarily at rest?
b)For what time interval is it moving forward?
c) During what times is its acceleration negative?
d)draw three separate graphs for acceleration, velocity and displacement. Explain the relationship between the important information on the graphs.

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Solution Summary

Displacement, velocity and acceleration is analyzed. Neat and Step-by-step solutions to all the questions. Graphs included.

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s = (4/3)t³ - 14t² + 40t + 8
(a) v = ds/dt = 4t^2 - 28t + 40 = 4(t^2 - 7t ...

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