1. The problem statement, all variables and given/known data The 400 kg mine car is hoisted up the incline with a slope angle of 30°. The massless cable connects the mine car and the motor that induces its motion. The force in the cable is defined by following function F = 3200 t2 [N], where the time t is in seconds. The mine car has at t = 0 and s = 0 an initial velocity v1 = 2 m/s. There is no friction between the mine car and the incline. a) Determine the acceleration of the mine car for t = 1 s. b) Calculate the velocity of the mine car when t = 2 s. Image of the mine car http://img14.imageshack.us/i/caraws.jpg/" [Broken] http://img14.imageshack.us/i/caraws.jpg 2. Relevant equations F=ma mgsin(30) + 3200 t^2 = ma - second derivative - here we have acceleration now we integrate the above and we get a= (mgsin(30) + 3200t^2)t / m - first derivative - here we have velocity now we integrate again and we get a= (mgsin(30) + 3200t^2)t^2 / 2m - here we have the distance 3. The attempt at a solution Are my equations correct ?