**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: [tex]\Large\boxed{23~m/s}[/tex]
Step-by-step 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
[tex]\dfrac{52~miles}{1~hour} \times\dfrac{1~hour}{3600~seconds} \times\dfrac{1609~meters}{1~miles}[/tex]
Simplify by multiplication
[tex]=\dfrac{52~miles}{3600~Seconds} \times\dfrac{1609~meters}{1~miles}[/tex]
[tex]=\dfrac{52\times 1609~meters}{3600~Seconds}[/tex]
Simplify the fraction
[tex]=\dfrac{83668~meters}{3600~Seconds}[/tex]
[tex]\Large\boxed{\approx23~m/s}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
