A speed skater accelerates from rest and then keeps skating at a constant speed. Draw a complete motion diagram of the skater.

Question

Accepted Answer

Welcome back, everybody. We are given a car which is initially at rest and I'm gonna represent it with this rectangle right here. We are told that it is going to travel a certain distance and at some point, it will reach its max speed and then it will continue at a constant speed past that point. And we are tasked with formulating a model that represents this scenario here. So let's go over our answer choices. For answer choice A, we just have a constant forward acceleration through the entire motion. For answer choice B we have velocity vectors that appear to be the same size with a constant acceleration going in the forward direction. Let me roll out here a little bit. For answer choice C we have velocity vectors that go from smaller to bigger until it hits the constant speed. And then it appears to have a constant velocity throughout. And then answer choice D is the opposite of answer choice C where you have a constant speed and then a deceleration afterwards. So let me go ahead and scroll back up here. In fact, I'm gonna drag my model down just the tiniest bit all right. Well, at first, we are told that the car initially starts at rest, meaning that its initial velocity is just going to be equal to zero. But once it starts, we are told that it is gradually going to increase in speed until it reaches a certain point or its maximum speed. Then from there, it's just gonna stay at that constant speed for the rest of the motion here. So what is going on with these velocity vectors? Then we have that during this interval, our velocity vectors are growing, meaning that the velocity is increasing and therefore the acceleration is positive once it hits this maximum speed, however, it's going to maintain a velocity. So during this interval, we are going to have no acceleration or an acceleration of zero. So this is going to be our model and right off the bat, what I see is that in answer choice C the first half, we have velocity vectors increasing and then staying constant our acceleration in our direction in our, our magnitude matches. And so our final answer corresponds to answer choice. C thank you all so much for watching. I hope this video helped. We will see you all in the next one.

A speed skater accelerates from rest and then keeps skating at a constant speed. Draw a complete motion diagram of the skater.

Verified video answer for a similar problem:

Key Concepts

Acceleration

Constant Velocity

Motion Diagram