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January 26, 2015

January 26, 2015

Posted by **LARA** on Monday, February 27, 2012 at 8:05am.

The position of a particle moving along the x-axis is given by x = 3.49t2 – 2.21t3, 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?

- PHYSICS -
**drwls**, Monday, February 27, 2012 at 8:52amx = 3.49t^2 – 2.21t^3

V = dx/dt = 6.98 t - 6.63t^2

At maximum V, dV/dt = 0

6.98 = 13.26 t

t = 0.5264 s @ maximum V

X @t=0.5264 = 0.6447 m

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