1. The problem statement, all variables and given/known data The 15.8-in. spring is compressed to a 7.1-in. length, where it is released from rest and accelerates the sliding block A. The acceleration has an initial value of 160 ft/sec2 and then decreases linearly with the x-movement of the block, reaching zero when the spring regains its original 15.8-in. length. Calculate the time t for the block to go (a) 4.35 in. and (b) 8.7 in. 2. Relevant equations a = 160 - kx vdV = adX V = dx/dt 3. The attempt at a solution k = 160/((15.8-7.1)/12) a = 160 - 220X Then i integrated vDV = 160 - 220x and got: v^2 = 320x - 220x^2 solved for V = sqrt(320x - 220x^2) now I know that V = dx/dt and to solve for dt and integrate for T. However I get stuck at the integral of dx/sqrt(320x - 220x^2) so I assume I am doing something wrong in the process of getting there.