Homework Help: math

Posted by feysal on Saturday, March 12, 2011 at 12:52am.

A particle is traveling along a one-dimensional path (such as a number line). The position of the particle is
governed by the time function x(t) 儹 3t 4 儃16t3 儁18t 2 儁 2 , where t is in minutes and 0 凾 t 凾 5 . Answer the
following questions.
a) At what times is the particle stationary?
b) For which time intervals is the particle moving in a positive direction? A negative direction?
c) What is the particleˇs most positive position? Most negative position?
d) What is the particleˇs displacement? What is the total distance the particle has traveled?
e) When does the particleˇs acceleration undergo a sign change? What is the particleˇs acceleration at the
times when the particle is stationary?
f) Sketch a graph (on a t-x coordinate plane) of the particleˇs position using the information above.

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