So the distance traveled in this situation or I should say the displacement just because we want to make sure we're focused on vectors the displacement here is going to be (or I should say the magnitude of the displacement...which is the same thing as the distance) is going to be 1/2 times the base...which is 5 seconds times the height...which is 5 meters per second ...times 5 m/s (let me do that in another color) the seconds cancel out with seconds and we're left with (1/2) * 5 * 5 meters so it's (1/2) * 25, which is equal to 12.5 meters and so there's an interesting thing here there's a couple of interesting things hopefully you realize that if you're plotting velocity versus time 1) the area under the curve, given a certain amount of time, tells you how far you have traveled 2) the other interesting thing is that the slope of the curve tells you your acceleration