QUESTION IMAGE
Question
- of the following, the largest unit of speed is: *
a. meters per second.
b. kilometers per hour.
c. miles per hour.
d. inches per second.
Step1: Convert units to a common base
We know that 1 mile = 1609.34 meters, 1 kilometer = 1000 meters, 1 inch = 0.0254 meters, 1 hour = 3600 seconds.
1 meter per second remains as is.
1 kilometer per hour: $1\frac{km}{h}=\frac{1000m}{3600s}\approx0.278\frac{m}{s}$
1 mile per hour: $1\frac{mi}{h}=\frac{1609.34m}{3600s}\approx0.447\frac{m}{s}$
1 inch per second: $1\frac{in}{s}=0.0254\frac{m}{s}$
Step2: Compare the values
We have:
- 1 m/s
- 0.278 m/s (for km/h)
- 0.447 m/s (for mi/h)
- 0.0254 m/s (for in/s)
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C. miles per hour