Slide 1 Hey everybody my name is Alejandro Ferreira and today we will be investigating the physics behind a pitch in baseball. Slide 2 Introduction A pitch is the act of throwing a baseball toward home plate with the intention’s of getting the batter out. There are many different pitches in the sport, but today we will be analyzing the physics behind a fastball. A fastball is a fundamental pitch in baseball that every pitcher must know. Slide 3 The video example is Nate Pearson pitching a 100mph fastball for a strikeout. The video displays the physics of a fastball in full effect which I will explain later on. Slide 4 Forces Used On A Fastball After leaving a pitcher’s hand, a fastball is influenced by 5 forces: gravity, drag, applied force, normal force and net force. Gravity pulls the ball downwards, drag slows the ball down, applied force as the pitcher pushes the ball forward, normal force which is opposite of gravity which cancels out, and net force which is the sum of the forces which can be calculated by adding all the forces together or by using the formula Fnet =ma. Slide 5 Formulas The formula for gravity is Fg=mg (acceleration due to gravity= -9.8m/s²) , I previously stated that the formula for net force is Fnet= sum of the forces or Fnet = ma, the formula to find the mass of an object is m = Fnet/a and acceleration can be found using the formula a= Fnet/m or (Vf-Vi)/(tf-ti). Slide 6 Calculations The calculations for the force of gravity is Fg=0.148835kg ✕ -9.8m/s² which gives you -1.45N. The calculations for acceleration are a= (44.704-0)/(0.4-0) which gives you 111.76m/s². The calculations for net force are Fnet= 0.148835kg ✕ 111.76m/s² which gives you 16.3N. Slide 7 Projectile Motion The motion of a projectile under gravity is called projectile motion.The projectile motion of a fastball is a parabola that reaches its maximum height while it is still in the hand of the pitcher and then once it is released it steadily decreases until it hits the glove of the catcher at the knees of the batter. The approximate angle that the fastball declines at is 40 degrees. The formulas and calculations that you see are to aid you in finding the maximum height, time of flight, and the horizontal range. In this scenario the initial velocity would always be 0 because at a time of 0 seconds the ball is not moving is not moving. Slide 8 Newton's Second Law According to Newton's second law, the acceleration of an object caused by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. The acceleration of an object increases in proportion to the force acting on it. The acceleration of an object decreases as the mass of the object increases.The image to the right sums it up quite well stating that if you apply more force to an object it accelerates at a higher rate, but when the mass of the object increases, the force that you are putting on it will begin to do less work and the acceleration will begin to decrease . This relates to pitching in baseball because the more force that you put into your throw, the higher the rate of acceleration will be. Slide 9 Newton’s Third Law Newton's third law of motion states that each action force has a reaction force that is equal in magnitude and opposite in direction. An example of Newton's third law of motion would be when a baseball makes contact with a bat because in that moment it is a prime example of a equal but opposite reaction since the bat is using equal force against the ball. Slide 10 Sound In baseball, you are able to hear the sound of the wind as the baseball travels through the air. Not only can you hear the wind, but you can hear the sound of the baseball reaching its final destination which is the glove of the catcher. The sound is more distinct when you are listening to a high velocity pitchers such as Nate Pearson, Luis Severino and Gerrit Cole who can basically hit 100mph with their fastballs when they are at full strength. Slide 11 Connection to real life We use forces, projectile motion, Newton's second law, Newton's third law, sound. We experience the force of gravity every day because if we did not, we would be floating in the air. For example, when we jump, we immediately go back down. Normal force is the force acting against gravity but since it is equal to gravity at 9.8m/s². We experience this all the time, for example, when we are walking. An example of friction is when we rub our hands together or when we shuffle our feet on a carpet. We use projectile motion all the time especially when we play sports like basketball, soccer, and football. We use projectile motion when we shoot a basketball, kick a soccer ball or throw a football. Newton's second law is applied when we are travelling because when we pull a carry-on bag it is quite light, and we are able to move faster, but with a heavier suitcase your acceleration will decrease. We use newton's third law when we put textbooks on a desk. The textbooks are the action force since they are pushing down on the desk, and the table applies a force on the book going upward (normal force). We use sound when we put our headphones on to listen to music. Slide 12 Summary In conclusion, today we learned that a fastball uses 4 forces, drag, gravity, normal force and net force, we also learned that a fastball uses projectile motion, Newton's second law, Newton's third law, and sound