Position of Particle with Max Speed on x-Axis | Physics

Thread starter J.live
Start date Sep 13, 2010
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The position of a particle moving along the x-axis is described by the equation x = 4.7t² - 3.2t³. To find the position when the particle reaches its maximum speed in the positive x-direction, one must first determine the velocity by differentiating the position function with respect to time. Setting the velocity equation to zero helps identify critical points, which can then be analyzed to find the maximum speed. The maximum speed occurs when the velocity changes from positive to negative. Ultimately, solving these equations yields the specific position of the particle at maximum speed.

Sep 13, 2010

J.live

Homework Statement

The position of a particle moving along the x-axis is given by x = 4.7t2 − 3.2t3,where x is in meters and t is in seconds. What is the position of the particle when it achieves its maximum speed in the positive x-direction?

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Sep 13, 2010

zorro

You should try to attempt the problem along with the question!
I cannot help you unless you try to do it.

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