i got a sheet full of alot of questions on integrations and differentiations and got them all except for two of them. in both the questions i run into the same type of problem so if i get one then i can probably work out the other using the same method. here's the question that's troubling me: (i've worked out part a) but i cant seem to get out part b). ) a particle with mass 80g is acted on by a force which decreases uniformly with respect to displacement from 10N to zero over 2 metres. a) calculate the maximum velocity of the particle, given v(0) = 0. b) find the time for which the force becomes zero. the part a) answer that i got was 9m/s. for the part b) its like im missing some information but seeing as there's two questions like that on the sheet im guessing theres a method to do this. what i think i need is a function of the Force to x so that i can use dx/dt = dx/dF * dF/dt. but unless i have that infomation, right now im clueless on how to continue. EDIT: i've done a little more on it but i ended up with the integral of (-62.5x^2 + 250x)^(-1-2) dx ... but i dont know how to do this integration. much appreciated if someone can show me how this is done. thanks.