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Currently Playing: Position-Time Graph_5

The position of a particle is given by the equation 𝑥(𝑡)=2𝑡^3−18𝑡^2+42𝑡 Where t is measured in seconds and x in meters. Draw a diagram to represent the motion of the particle. Find the velocity at t = 3 s. When is the particle at rest? Find the acceleration at t = 4 s. When is particle moving forward (that is, in the (+) x-direction)? When is the particle speeding up? When is it slowing down?


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