Question

Professional baseball player Nolan Ryan could pitch a baseball at approximately 160.0 km/h. At that average velocity, how long (in s) did it take a ball thrown by Ryan to reach home plate, which is 18.4 m from the pitcher's mound

Answer 1

t = 0.414s

Step-by-step explanation:

In order to calculate the time that the ball takes to reach home plate, you assume that the speed of the ball is constant, and you use the following formula:

`t=(d)/(v)` (1)

d: distance to the plate = 18.4m

v: speed of the ball = 160.0km/h

You first convert the units of the sped of the ball to appropriate units (m/s)

`160.0(km)/(h)*(1h)/(3600s)*(1000m)/(1km)=44.44(m)/(s)`

Then, you replace the values of the speed v and distance s in the equation (1):

`t=(18.4m)/(44.44m/s)=0.414s`

THe ball takes 0.414s to reach the home plate