A particle starts from at and moves with the velocity graph shown in FIGURE EX2.6. (a) Does this particle have a turning point? If so, at what time?

Video transcript

Hey, everyone. This problem tells us that the velocity time graph for a body starting from rest is shown below. We're asked to determine if there is any turning point for this living body. Our multiple choice answers here are a, at time equals eight seconds. B at time equals four seconds C at time equals 10 seconds or D there is no turning point in this graph. So from here, we can recall that the turning point occurs when the body reverses its direction. So a change in sign indicates that this velocity goes from positive to negative. And so when we look at our graph, we can see that for the first eight seconds, Our velocity is positive. It ranges from zero up to 20 m/s and then back down to zero At eight seconds from 8 to seconds. It is a negative velocity. And so that is a indicator that at that time time equals eight seconds is when the turning point occurs. And so that's the correct answer for this problem. A time equals eight seconds. All we have for this one, we'll see you in the next video.