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Q1PE

Expert-verifiedFound in: Page 33

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.

**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 $\mathrm{v}=100\mathrm{km}/\mathrm{h}$.

Write the equation for velocity.

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

As you know,-

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

Write the equation for velocity.

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

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

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