Question

If a car is moving at 52mph, how fast is the car moving in m/s?​

Answer 1

**Disclaimer** Hi there! I assumed the unit [ mph ] represents miles per hour and [ m/s ] represents meters per second. The following answer will be according to this understanding. If I am wrong, please let me know and I will modify my answer.

Answer:
`\Large\boxed{23~m/s}`

Explanation:

Given information

Speed = 52 mph

Given conversion factors

1 mile ≈ 1609 meters

1 hour = 3600 seconds

Convert the unit from mph to m/s using conversion factors

The basic idea is that you utilize the factors and cancel out unnecessary units

`(52~miles)/(1~hour) *(1~hour)/(3600~seconds) *(1609~meters)/(1~miles)`

Simplify by multiplication

`=(52~miles)/(3600~Seconds) *(1609~meters)/(1~miles)`

`=(52* 1609~meters)/(3600~Seconds)`

Simplify the fraction

`=(83668~meters)/(3600~Seconds)`

`\Large\boxed{\approx23~m/s}`

Hope this helps!! :)

Please let me know if you have any questions