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Chapter 1: Problem 104

Secretariat is known as the horse with the fastest run in the Kentucky Derby. If Secretariat's record \(1.25-\mathrm{mi}\) run lasted J minute \(59.2\) seconds, what was his average speed in \(\mathrm{m} / \mathrm{s}\) ?

Short Answer

Expert verified
Secretariat's average speed during his record-breaking Kentucky Derby run was approximately \(16.87 \ \frac{\text{m}}{\text{s}}\).

Step by step solution

01

Convert distance from miles to meters

To convert 1.25 miles to meters, we will use the conversion factor 1 mile = 1609.34 meters. Multiplying the given distance by the conversion factor, we have: \(1.25 \ \text{miles} \times 1609.34 \ \frac{\text{meters}}{\text{mile}} = 2011.675\ \text{meters}\)
02

Convert time from minutes and seconds to seconds

We are given the time taken as 1 minute 59.2 seconds. First, we will convert minutes to seconds by multiplying with 60 (since there are 60 seconds in a minute): \(1 \ \text{minute} = 1 \times 60 \ \text{seconds} = 60 \ \text{seconds}\) Now, add the converted minutes and seconds together: \(60 \ \text{seconds} + 59.2 \ \text{seconds} = 119.2 \ \text{seconds}\)
03

Calculate the average speed

Now that we have the distance covered in meters and the time taken in seconds, we can calculate the average speed as follows: \(speed = \frac{distance}{time}\) Substituting the values, we have: \(speed = \frac{2011.675 \ \text{meters}}{119.2 \ \text{seconds}} ≈ 16.87 \ \frac{\text{m}}{\text{s}}\) The average speed of Secretariat during his record-breaking Kentucky Derby run was approximately 16.87 m/s.

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Most popular questions from this chapter

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