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The position of a particle moving along the x axis is given in meters by x...

The position of a particle moving along the x axis is given in meters by x = 3.0t2 – 1.0t3, where t is in seconds. (a.) At what time does the particle reach its maximum positive x position? (b.) What total length of path does the particle cover in the first 4.0 sec? (c.) What is its displacement during the first 4.0 sec? (d.) What is the particle’s speed at the end of the first 4 sec? (e.) What is the particle’s acceleration at the end of the first 4 sec?

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Answer #1

Velocity is defined as the derivative of position and similarly, acceleration is defined as the derivative of velocity.

At maximum positive x position, particle velocity becomes zero and it changes ots direction.

Displacement is the difference between final and initial position.

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