Question

Which units are used to measure both velocity and speed? Check all that apply. m/s d/t km/h mph lph

Answer 1

The units used to measure speed and velocity are as follows: m/s, Km/h, and mph.

Answer 2

m/s km/h mph

Explanation:

The units above are all used to measure velocity and speed. In fact:

- m/s: this is meters (m) per second (s), this is the SI unit for the speed and the velocity, it used when the distance is expressed in meters and the time is expressed in seconds

- km/h: this is kilometers (km) per hour (h). In this case, the distance is expressed in kilometers while the time taken is expressed in hours. Since

1 km = 1000 m

1 h = 3600 s

We can write a conversion factor between m/s and km/h:

$v(m/s)=\frac{1000 m/km}{3600 s/h} \cdot v(km/h)= \frac{1}{3.6} v(km/h)$

- mph: this is miles (m) per hour (h). In this case, the distance is expressed in miles, while the time is expressed in hours. Since

1 mile = 1.609 km

We can write a conversion factor between km/h and mph:

$v(km/h)= \frac{1.609 km/mi}{1} \cdot v(mph)= 1.609 \cdot v(mph)$