A one-dimensional force acts on a particle of mass m = 6.26 kg in such a way that its position is given by:
x = 0.484t3 - 33.6t
Find W, the work done by this force during the first 1.49 s.
The Attempt at a Solution
To find the distance, I plugged in 1.49 into the formula they gave, and I got (-48.5). I know that to find work, the formula is W=F*s, so in order to find the force, I'm not sure which formula to use.
I think I should be using F=ma, and to find the acceleration, I can take the second derivative of the given formula. However, I forget whether that is allowed in one-dimension. If not, then do I use F=mg? If I use F=mg, then the answer for work will come out positive. If I use F=ma, then the work comes out negative.
Here are my results: