Baseball in the air 2D motion question

In summary: In reality, there is a drag on the baseball in flight which will cause it to slow down. This makes the equation for the acceleration of the ball after it is caught more complicated. In summary, the baseball is caught with an acceleration of 4.92 m/s2.
  • #1
Kyros
2
0

Homework Statement

A baseball is hit into the air, nearly vertically, with a speed of 27 m/s. When it comes down, the ballplayer catches it in his glove. Air resistance (drag) is actually fairly important for a baseball in flight, but for now let’s assume it is negligible.

(a) How high does the baseball go, and how long is it in the air?

(b) As the player catches the ball, his glove moves downward by 12 cm before coming to rest. Based on this, estimate the acceleration of the ball as it is caught.

Variables:
V=27 m/s
Acceleration= g= 9.8
Vo= 0 m/s
Xo=0 m
x=?
t=?

Homework Equations


kinematic equations for constant acceleration:
V=Vo+at
X=X0+V0t+1/2at^2
V^2=Vo^2+2a(X-Xo)
Average V= (V+Vo)/2

v= change in x/ change in t
a= change in v/change in t

The Attempt at a Solution


[/B]
a.
V= Vo+(at)
27= (0)+ 9.8t
t= 2.76 seconds

X=Xo+Vot+1/2at^2
x=(0)+(0)(2.76)+1/2(9.8)(2.76)^2
x=37.32m

b.
this is where i get lost...
12cm= .12m

x= 37.32 +.12m = 37.44m
t= 2.76 seconds

v= 37.44 /2.76 = 13.57m/s

a= 13.57m/s/2.76
a= 4.92Thats my attempt, I'm really lost so any advice or help will be appreciated. I'm not too confident about my answer but a too. Also, is b just 9.8? since its just gravity acting on the ball.


 
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  • #2
Kyros said:
the acceleration of the ball as it is caught.
Not sure if you understood this. It is asking for the acceleration from the moment the ball touches the gloves until it comes to rest.
Kyros said:
x= 37.32 +.12m = 37.44m
Adding the two distances is not useful. The kinetics equations you use ("SUVAT") only apply while the acceleration is constant. When the gloves make contact, the acceleration changes.
Treat the process of catching as entirely separate.

There is a small flaw in the statement of the question. It ought to tell you to assume this catching acceleration is constant.
 

Related to Baseball in the air 2D motion question

What is "Baseball in the air 2D motion question"?

"Baseball in the air 2D motion question" is a physics problem that involves analyzing the motion of a baseball in two dimensions, typically using concepts such as projectile motion and Newton's laws of motion.

Why is the study of baseball in the air 2D motion important?

The study of baseball in the air 2D motion allows us to understand and predict the behavior of a baseball in flight, which is essential for players, coaches, and scientists alike. It also helps us better understand the physics behind other objects in similar motions.

What are the key factors that affect a baseball's 2D motion?

The key factors that affect a baseball's 2D motion include the initial velocity of the ball, the angle at which it is thrown, air resistance, and the force of gravity. These factors can be manipulated to achieve different trajectories and distances for the ball.

How can we calculate the trajectory of a baseball in flight?

The trajectory of a baseball in flight can be calculated using equations derived from projectile motion, which take into account the initial velocity, angle, and acceleration due to gravity. Advanced techniques such as numerical integration can also be used for more accurate predictions.

What are some real-life applications of studying baseball in the air 2D motion?

Studying baseball in the air 2D motion has real-life applications in baseball training and strategy, as well as in other fields such as engineering and aerodynamics. It also helps us understand the principles of motion and apply them to other scenarios, such as launching projectiles or analyzing the flight of birds.

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