Boston Red Sox pitcher Roger Clemens could routinely throw a fastball at a
horizontal speed of 164.4 km/hr. How long did the ball take to reach home plate
19.3 m away?

We know that we can be able to find the time taken by the use of the equations of motion. The equations of motion can be obtained using the rules of kinematics.

Now we can say that;

speed = distance /time

speed = 164.4 km/hr

distance = 19.3 m

To convert 164.4 km/hr to m/s;

164.4 km/hr * 1000/3600

= 45.7 m/s

Then;

time = distance/speed

time = 19.3 m/45.7 m/s

= 0.42 seconds

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temdan2001 temdan2001 · Answer 2 · 2022-08-19T19:09:11+02:00

It takes 0.42 s for ball take to reach home plate 19.3 m away

What is Speed ?

Speed is the distance travelled by a body per time taken. It is a scalar quantity. The S.I unit is meter per second. That is, m/s

Given that Boston Red Sox pitcher Roger Clemens could routinely throw a fastball at a horizontal speed of 164.4 km/hr. How long did the ball take to reach home plate 19.3 m away?

Since the ball is thrown horizontally, The speed = distance ÷ time

First convert the speed in Km/h to m/s by dividing 164.4 by 3.6

Speed = 164.4 ÷ 3.6

Speed = 45.67 m/s

Substitute all the parameters

45.67 = 19.3 / t

Make time the subject of formula

t = 19.3 / 45.67

t = 0.42 seconds

Therefore, it takes 0.42 s for ball take to reach home plate 19.3 m away

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