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Chapter 1: Problem 25

A sprinter can run at a top speed of 0.32 miles per minute. Express her speed in (a) \(\mathrm{m} / \mathrm{s}\) and (b) \(\mathrm{mi} / \mathrm{h}\).

Short Answer

Expert verified
Answer: The sprinter's top speed in meters per second is 8.61 m/s and in miles per hour is 19.2 mi/h.

Step by step solution

01

Convert miles per minute to meters per second

To convert the speed from miles per minute to meters per second, we use the conversion rates given above: 1. Multiply the given speed by the conversion rate from miles to meters. 2. Divide the result by the conversion rate from minutes to seconds. So, the equation will be: Speed\((\frac{m}{s})\) = Speed\((\frac{mi}{min}) \times \frac{1609.34 m}{1 mi} \times \frac{1 min}{60 s}\) Plug in the given speed (0.32 miles per minute): Speed\((\frac{m}{s}) = 0.32 \frac{mi}{min} \times \frac{1609.34 m}{1 mi} \times \frac{1 min}{60 s} = 8.61 \frac{m}{s}\)
02

Convert miles per minute to miles per hour

To convert the speed from miles per minute to miles per hour, we use the conversion rate between minutes and hours: Speed\((\frac{mi}{h})\) = Speed\((\frac{mi}{min}) \times \frac{60 min}{1 h}\) Plug in the given speed (0.32 miles per minute): Speed\((\frac{mi}{h}) = 0.32 \frac{mi}{min} \times \frac{60 min}{1 h} = 19.2 \frac{mi}{h}\) The sprinter's top speed in meters per second is 8.61 m/s and in miles per hour is 19.2 mi/h.

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Most popular questions from this chapter

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