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Chapter 2: Q103P (page 39)

Question: If a baseball pitcher throws a fastball at a horizontal speed of 160 Km/hr,how long does the ball take to reach homeplate 18.4 maway?

Short Answer

Expert verified

The time taken by ball to reach home plate is414m/s .

Step by step solution

01

Given data

The speed of the ball is160km/h .

The distance of the plate is18.4m .

02

Understanding the speed of an object.

The speed of an object is defined as the rate of change of distance with time. It is a scalar quantity.

The expression for the speed is given as follows:

Distance=Speed×Timeinterval … (i)

03

Determination of time taken by ball to reach the plate. 

First, convert the speed of the ball from km/htom/s .

The speed of the ball can be written as,

Speed=160km/h=160×518m/s=44.44m/s

From equation (i), the time taken by ball is calculated as follows:

role="math" localid="1650526041222" Timeinterval=DistanceSpeed=18.4m44.44m/s=0.414s=414ms

Thus, the time taken by ball to reach home plate is414ms.

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