Im having troubles with this question for my assignment... Determine the time required for a car to travel 1km along a road if the car starts from rest, reaches a max speed at some intermediate point, and then stops at the end of the road. The car can accelerate at 1.5 m/s^2 and decelerate at 2 m/s^2. I thought about sing the constant acceleration formulas (s= s0 +v0t+1/2at^2 V=v0+at) and letting v=v1, s=s1, t1 to be the time at which acceleration switches. make 4 equations first 2 using s1 and v1. second 2 using 1000m and v2=0 while v0=v1 (using t2-t1 for this part). I did the subbing in and it all turned into a mess. Anyone know of a easier way to approach this problem?