Question

A major league pitcher is recorded as having thrown a 105 mph fastball. What is the speed of the pitch in m/s ? One mile is equivalent to 1609 m.

Answer 1

To convert the speed of a 105 mph fastball to m/s, multiply 105 by 1609, then divide by 3600, resulting in approximately 46.94 m/s.

Step-by-step explanation:

To convert the speed of a fastball pitch from mph to m/s, we can use the given conversion factor that one mile is equivalent to 1609 meters. A pitch thrown at 105 mph can be converted to meters per second (m/s) using the following calculation:

Speed in m/s = (Speed in mph) × (1609 meters/1 mile) × (1 hour/3600 seconds)

Speed in m/s = (105) × (1609/1) × (1/3600)

Speed in m/s = 46.94 m/s (rounded to two decimal places)

Therefore, a major league pitcher throwing a fastball at 105 mph is throwing it at approximately 46.94 m/s.