Problem

The pitcher throws the baseball horizontally with a speed of 140 ft/s from a height of 5...

The pitcher throws the baseball horizontally with a speed of 140 ft/s from a height of 5 ft. If the batter is 60 ft away, determine the time for the ball to arrive at the batter and the height h at which it passes the batter.

Step-by-Step Solution

Solution 1

Pitcher throws the baseball horizontally with a speed

The batter is away by

The pitcher throws the ball at a height of from the ground

For the horizontal motion, we have

By substituting the values of the parameters into, we have

Time for the ball to arrive at the batter is

For the vertical motion, we have

By substituting the values of the parameters into, we have

The ball passes the batter at a height of

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