How Much Time is Saved in a Baseball Throw with an Infielder Relay?

In summary, the problem involves a baseball being thrown at a 45 degree angle from the outfield to the catcher at a distance of 125m. The question is asking how much time could be saved if the ball was instead thrown to an infielder who is halfway between the outfielder and the catcher, allowing 0.25s for the infielder to catch, turn, and throw. All throws are assumed to have the same speed and height, and air resistance is neglected. The solution will involve using the 5 kinematic equations to calculate the time difference between the two scenarios.
  • #1
lanruoer
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Homework Statement


During a baseball game, the outfielder picks up the ball in the outfield and throws it at 45 degree above the horizontal towards home plate. the ball is caught by the catcher at the same level who is 125m away. if the outfielder had instead thrown the ball to an infielder, who is standing half way between the outfielder and the catcher, who then threw it home, how much time might have been saved? Neglect air resistance and assume all three throws have the same speed and height when thrown and caught. Also allows 0.25 s for the infielder to catch, turn, and throw.



Homework Equations



2sin beta cos beta= sin2beta
5 kinematic equations

The Attempt at a Solution



I honestly can't figure out
 
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  • #2
how to set up this problem. I know that I need to use the kinematic equations, but I am not sure how to apply them in this situation.
 

Related to How Much Time is Saved in a Baseball Throw with an Infielder Relay?

1. What is projectile motion?

Projectile motion is the motion of an object that is launched into the air and then moves under the force of gravity alone.

2. What are the factors that affect projectile motion?

The factors that affect projectile motion include the initial velocity, the angle of launch, the mass of the object, and the force of gravity.

3. How do you calculate the range of a projectile?

The range of a projectile can be calculated using the equation Range = (initial velocity)^2 * sin(2*angle of launch) / (acceleration due to gravity).

4. What is the maximum height of a projectile?

The maximum height of a projectile is achieved when the vertical velocity of the object is equal to zero. This can be calculated using the equation max height = (initial velocity)^2 * sin^2(angle of launch) / (2*acceleration due to gravity).

5. How does air resistance affect projectile motion?

Air resistance can affect projectile motion by slowing down the object and changing its trajectory. However, for most projectile motion problems, the effects of air resistance are ignored and the motion is assumed to take place in a vacuum.

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