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### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# The speed limit on some interstate highways is roughly 100 km/h . (a) What is this in meters per second? (b) How many miles per hour is this?

The speed of any object is referred to as the distance covered by a body in a given time period.

Velocity is the rate of change of distance with respect to time.

See the step by step solution

## Step 1: Defining velocity

The pace at which a body's distance changes in relation to time is referred to as its velocity. Its SI equivalent is m/s.

Given data

The speed limit $\mathrm{v}=100\mathrm{km}/\mathrm{h}$.

## Step 2: (a) Explanation of velocity in meters per second

Write the equation for velocity.

$\mathrm{v}=\left(100\frac{\mathrm{km}}{\mathrm{h}}\right)\left(\frac{1000\mathrm{m}}{3600\mathrm{s}}\right)\phantom{\rule{0ex}{0ex}}=27.78\mathrm{m}/\mathrm{s}$

## Step 3: (b) Explanation of velocity in miles per hour

As you know,-

$1\mathrm{km}=0.621371\mathrm{miles}$

Write the equation for velocity.

$\mathrm{v}=\left(100\frac{\mathrm{km}}{\mathrm{h}}\right)\left(0.6214\mathrm{miles}\right)\phantom{\rule{0ex}{0ex}}=62.14\mathrm{miles}/\mathrm{h}$

## Step 4: Conclusion

Hence, the velocity in meter per second is $27.78\mathrm{m}/\mathrm{s}$ and in miles per hour is $62.14\mathrm{miles}/\mathrm{h}$.