45.5 meters Looking at the graph, the van is decelerating at a constant rate from 13 m/s down to 0 m/s over the time interval from 16.0s to 23.0s. The duration of the deceleration is (23.0 - 16.0) = 7.0s. The change in velocity over that interval is 13m/s, so the rate of acceleration is (13.0/7) = -1.857143 m/s^2 (Value is negative since the vehicle is decelerating. Since d=1/2 A T^2 for constant acceleration, the formula for how far the van travels is 13T - 1/2*1.857143 T^2. = d Substituting 7 for T gives 13*7 - 1/2*1.857143*7^2 = d 91 - 0.928571*49 = d 91 - 45.5 = d 45.5 = d Therefore the van moves a total of 45.5 meters over the time interval from 16.0s to 23.0s.
