Calculate the Distance of the Falling Ball and Package

How far does the baseball drop between the pitcher’s mound and home plate?

a) 0.945 m

b) 2.15 m

c) 1.02 m

d) 0.382 m

How far is the package from the lifeboat when it hits the waves?

a) 225 m

b) 1.27 km

c) 323 m

d) 282 m

Answer:

The baseball drops 0.945 meters between the pitcher’s mound and home plate. The rescue package falls 282 meters away from the lifeboat when it hits the waves.

Explanation:

For the baseball, the distance dropped is calculated by considering the time taken to cover the distance of 60 feet and 6 inches, and then using kinematics to find the fall of the ball. The result is 0.945 meters.

For the rescue package, the time of drop is first calculated using vertical acceleration. Then, the horizontal distance is found by multiplying the horizontal speed with the time taken. The package falls 282 meters away from the lifeboat when it hits the waves.