If fungoes are a ball tossed into the air by a batter and then struck as it comes down then a fungo bat is a baseball bat used for hitting fungoes. To go into more detail, a fungo bat is a long, lightweight baseball bat used by coaches (or parents) during pregame hitting or practice to help them hit grounders and pop flys with more consistency and less fatigue. To be one of the best in baseball, countless hours of practice are a must and fungo bats are intended for both infield and outfield practice. Plus, they help tremendously with control and accuracy so that coaches and parents can place a ball where they want when they want. 
Helmet worn by batter to protect the head and the ear facing the pitcher from the ball. Professional models have only one ear protector (left ear for right-handed batters, right ear for lefties), amateur and junior helmets usually have ear protectors on both sides, for better protection from loose balls, and to reduce costs to teams (all players can use the same style of helmet).
The fungo is used by a coach to hit balls for defense practice. It is lighter weight, so less fatiguing to hit ball after ball. The fungo sheds its weight above the hands. The severely tapered barrel to drops weight and maintains a high moment of inertia. While the bat would be at greater risk of breaking if used in a live batting exercise, it is safe to use in practice because there are much fewer mis-hits.
There are many advantages to using a fungo bat. If you are a coach or a parent looking to improve your player's defensive skill set, you're going to want and need a fungo bat. A normal adult wooden baseball bat will weigh around 27-31 ounces, and after a couple of rounds of pop-flys, it is going to feel like you just went through a full-on workout. With the help of a fungo bat, you will be able to hit ground balls and pop flys all day without getting fatigued.  The barrel on a fungo bat will typically be 2 1/4 inches in diameter which greatly helps increase your control over the bat through the hitting zone. While the barrel has a much more thin diameter, it is also much longer in comparison to a normal wood baseball bat. This larger hitting surface and smaller barrel combine to give coaches and parents quick swing speeds with precise accuracy. 
Four historically significant baseball bats showcased in the National Baseball Hall of Fame's traveling exhibit "Baseball As America". From left to right: bat used by Babe Ruth to hit his 60th home run during the 1927 season, bat used by Roger Maris to hit his 61st home run during the 1961 season, bat used by Mark McGwire to hit his 70th home run during the 1998 season, and the bat used by Sammy Sosa for his 66th home run during the same season.
In 1990, Bruce Leinert came up with the idea of putting an axe handle on a baseball bat. He filed a patent application for the 'Axe Bat' in 2007 and the bat started being used in the college and pro ranks over the following years. In 2012, the Marietta College Pioneers baseball team won the NCAA Division III World Series using axe handled bats.[2] Several Major League Baseball players have adopted the bat handle including Mookie Betts, Dustin Pedroia, George Springer, Kurt Suzuki and Dansby Swanson.[3][4]
The bat's form has become more refined over time. In the mid-19th century, baseball batters were known to shape or whittle their own bats by hand. This allowed there to be a wide variety in shape, size, and weight. For example, there were flat bats, round bats, short bats, and fat bats. Earlier bats were known to be much heavier and larger than today's regulated ones. During the 19th century, many shapes were experimented with, as well as handle designs. Today, bats are much more uniform in design.

It is not clear why pregame infield fell out of favor in the majors. Today, coaches hit balls to infielders and outfielders during batting practice. Most players go at it leisurely, lobbing balls back in or across the diamond. That rankles old-school players like Jerry Kindall, a former major league infielder who coached Arizona to three N.C.A.A. titles before retiring in 1996.
Even in those formative years, authorities on the game warned the practice of hitting fungoes should be limited to coaches. Henry Chadwick, one of baseball’s earliest proponents, claimed “The weakest batting is shown when the batsmen indulges in fungo hitting,” according to the Art of Batting. Others agreed that the practice was bad for training a batter’s reflexes: “While watching some of our freshmen practicing ‘fungo’ batting the other afternoon it occurred to me that it was about the worst kind of practice a batsman could imagine in training his eye in batting,” a writer claimed in the March 3, 1886 edition of The Sporting Life. “It trains the eye to meet the ball in batting it in a manner which never occurs in actual play. It ought to be prohibited on every well regulated ball field.”
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