F(t) values graph, why doesn't this make sense?

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Homework Statement


http://img35.imageshack.us/img35/7035/picture18hl.png
http://img195.imageshack.us/img195/7315/picture19dq.png



http://img171.imageshack.us/img171/7427/picture20e.png
http://img16.imageshack.us/img16/8384/picture21v.png

Homework Equations





The Attempt at a Solution


I don't know why the values for c and e seem wrong to me. Shouldn't acceleration be positive at only t2 and t3? And velocity decreasing at t1, t4, and t5? Am I thinking of this the wrong way or too much like a physics problem?
 
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Acceleration is positive at t1 and t2, because the velocity is increasing at those points. Notice that at t3, the velocity is decreasing, which makes the acceleration negative at that point.

Velocity is decreasing at t3, t4, and t5. Not coincidentally, the acceleration is negative at these points.
 
It said incorrect...
 
neutron star said:
It said incorrect...
It said incorrect for what?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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