Question

urgent!!!!! Steve races to the nearest taco stand at lunchtime and sees that his pedometer recorded his peak speed at 74.1 cm/s. What was Steve's peak speed in kilometers per hour?

Answer 1

0.04446 km/hr

Step-by-step explanation:

For this question, we will be using the dimensional analysis method. Dimensional Analysis (also called Factor-Label Method or the Unit Factor Method) is a problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. It is a useful technique.

Steps:

1. 74.1 cm/s × 1 km/100,000 cm × 60 s/1 hour
2. From the above expression, we know that there are 100,000 centimeters in 1 kilometer. Since we want the kilometers at the top, we will multiply 1 km/100,000 cm to 74.1 cm/s. From that, we can cross out the centimeters.
3. Next, we need to figure out how to get hours at the bottom. So for this, we know that there are 60 seconds in an hour so we multiply that as well. This will cross out the seconds.
4. Then, we multiply 74.1 × 60 and then divide it by 100,000.
5. After doing this, we get the answer to be 0.04446 km/hr