A particle is moving along a straight line with accelerated motion such that a=-ks, where s is the distance from the starting point and kis the proportionality constant to be determined. For s=2 ft the velocity is 4 ft/s, and for s=3.5 ft, the velocity is 10 ft/s. What is s when the velocity is zero? Here is a description of my approach, but I keep running into dead ends. I'd like to verify that the approach is correct before I go further. My Approach: Establish the relationship between velocity and acceleration as a differential equation. v dv=a*ds. I know that I'm going to need to define my constant of integration as well as my k value to get anywhere. So, I want to integrate using boundaries, with the v dv integration having boundaries of 4 and V, whereas the ds boundaries will be 2 and s. After Isolating for V, the function is: v = sqrt(-ks^2-12). My guess in regards to determining K was to plug in the other given S and V values into this equation to find K. However, this does not work, as my K value does not come out to be correct. Any clues?