1. The problem statement, all variables and given/known data If the acceleration of a particle on a horizontal line is x where x represents the position in centimetres from the starting position of zero and if the initial velocity is 8 centimetres per second find the velocity of the particle when it is in a position of 15 centimetres 2. Relevant equations 3. The attempt at a solution I attempted solving the equation using separation of variables. let x = 15 a = 15 ∫dv = ∫15dt v = 15t + c c = 8 v = 15t + 8 ∫dx = ∫15t + 8dt x = 7.5t2 + 8t Assuming object starts at origin c = 0 15 = 7.5t2 + 8t Solving the quadratic t = 0.9781 let t = 0.9781 v = 15(0.9781) + 8 v = 22.67cm/s I know that something is wrong with my approach to the problem because this is not the answer, however I can't think of any other way to solve it. The answer is 17.