Kinematics in 2D Video Lessons

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Problem: The maximum acceleration attained on the interval 0<=t<=3 by the particle whose velocity is given by v(t) = t3 - 3t2 + 12t + 4 is?Is the derivate acceleration or the second derivative?

FREE Expert Solution

We are given an equation with some powers of t. We recognize that this is a kinematics problem with calculus.

We'll need the chart below showing the relationship between acceleration, velocity, and position equations.

2D&3D Motion with Calculus:

PVddtdtA

Power rule of derivation:

ddt(atn)=n·atn-1

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Problem Details

The maximum acceleration attained on the interval 0<=t<=3 by the particle whose velocity is given by v(t) = t3 - 3t2 + 12t + 4 is?

Is the derivate acceleration or the second derivative?

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