If an object starts from a point a certain an amount of time ahead of the other ,how to calculate the minimum amount of time difference for which it is impossible for object 2 to catch up on object 1? This the information; Object 1 starts at a initial velocity of 0 with a constant acceleration of 1m/s^2. Object 2 starts at a initial velocity of 4.5m/s with a constant acceleration of 0. Let the amount of time be u. Calculating the discplacement of object 1 after u. d=(u^2)/2 Calculating the final velocity; v=1u Now the discplacement of object 2: d=4.5t The discplacement of object 1: d=t^2/2 + ut + (u^2)/2 Now for what value of u, t^2/2 + ut + (u^2)/2 > 4.5t for any value of t?