steve rises to the nearest soccer stand at lunchtime and sees that his pedometer recorded his pe

Step 1: Convert the speed from centimeters per second (cm/s) to meters per second (m/s). Since t

Steve rises to the nearest soccer stand at lunchtime and...

Transcript

00:01 Hi there.

00:02 In this question, we have a unit conversion problem where we are trying to convert from centimeters per second to kilometers per hour.

00:18 Okay, so we need a relationship between centimeters and kilometers.

00:23 Well, senti means 10 to the negative 2, while kilo means 10 to the 3rd.

00:28 So the difference between centi and kilo is going to be a power of 10 to the 5th.

00:36 Let me fix that.

00:39 The difference, let's try that again, is going to be a power of 10 to the fifth because the difference between negative 2 and 3 is 5.

00:46 So there are going to be 10 to the fifth of the smaller units, which are centimeters, in every one kilometer.

00:55 So this will allow us to convert from centimeters to kilometers.

00:58 In the denominator, we need to convert from seconds to hours.

01:02 Well, first we can convert from seconds to minutes, because we know there are 60 seconds in one minute.

01:10 And then we can convert from minutes to hours because we know there are 60 minutes in every hour.

01:18 Okay.

01:20 So we have our equalities that we're going to use as conversion factors as we convert from centimeters per second to kilometers per hour.

01:28 Let's go ahead and set this up and solve it.

01:31 We are told that he is moving at a pace of 106 .5 centimeters per second.

01:45 All right.

01:46 And notice that has four significant figures...