Sketch the $v$ vs. $t$ graph for the object whose displacement as a function of time is given by Fig. 2-44.

VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. So I copied over the answers from part 57, just to give us an idea of what the scale should be for the velocities on this axis here and initially between 0 and 10 seconds, the velocities are the easier to plot because it's a constant velocity of about 0.3 meters per second so it's a horizontal line there and then after 10 seconds, it's getting faster and faster we're gonna be accelerating up to about I don't know, at 30 seconds, we calculated that it's about 1.2 so 1.5 is just above that and this, I don't know, peak should line up with just the before 30 because the average velocity between 25 and 30 was a bit greater than 1.2 it was 1.4 and then it starts to slow down after 30 seconds to the point where it's just this one moment has a velocity of zero the tangent is horizontal line there that's at about 37 seconds and so that corresponds to about here velocity zero and then its velocity becomes negative after that to about negative 0.95 meters per second between 40 and 50 and then finally levels out at about 50 meters or 50 seconds with a velocity again of about zero. So that's a rough sketch of that idea.