Question

A cyclist completes *full* round of a circular track of radius 318 m in 1.5 minutes. Find it's speed and velocity​

Answer 1

Answer:

There are a couple of words missing here, so I’ll fill them in a bit.

The speed question is the easiest, so let’s start there. All you need to do is get the circumference (318 * 2π), divide it by 2 (okay so just 318π) and then divide that by 90 seconds. There’s your speed, about 11 m/s. Well… there’s your average speed, but if we assume that you are not accelerating linearly as you go around the track, we can say that your average speed and your instantaneous speed are, in fact, equal. Cool.

As to your velocity, this is a more complicated question than you made it because there are two kinds of velocity and you haven’t specified which. One of them is called “instantaneous velocity.” It’s your velocity at the moment. We have to assign some additional values here. Let’s say that when you first started, you were moving in the positive direction. At this moment, you are moving in a parallel direction to how you started, but now in the total opposite direction. Your instantaneous velocity is now -11 m/s.

There is also what we would call your average velocity which we would calculate by taking your total displacement and dividing by time. Counter-intuitively, your total displacement is actually really short. It’s just the distance across the track (318 * 2 — 726 meters). We would say then, in a minute and a half you’ve only traveled 726 meters and therefore your average velocity is 8.1 m/s. So physics would suggest you’re just taking a really poor route that wastes lots of energy.

Explanation:

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