One Dimensional Baseball Kinematics

In summary, when solving kinematics problems, it is important to pay attention to the direction of vectors. Generally, gravitational acceleration is taken as negative, but sometimes it can be ignored if compensated for in the equations. In the given problem, the player threw the ball vertically upward and gravity is taken as negative, resulting in a negative acceleration. When finding the distance and height, it is important to use the appropriate sign for gravity, in this case negative.
  • #1
pointintime
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Homework Statement



52. A baseball player catches a ball 3.1 s after throwing it vertically upward. With what speed did he thow it, and what height did it reach?

Homework Equations




def of a = t^-1 (V - Vo)

The Attempt at a Solution


t = (3.1 s)2^-1 = 1.55 s
def of a = t^-1 (V - Vo)
Vo = V - at
when did that I got
- (- 9.80 kg^-1 N)1.55 s
15.2 s^-1 m

ok in order to do this problem do you decide to make gravity negative or positive then when find the distance do I use negative or positive in order to find the velocity I had to use negative or I would have gotten a negative velocity so when I find the height i have to make the acceleration aslo equal to -g?

I do not understand when to make gravity negative and when not to
one time in a problem I was asked to find the time something jumped into the air and it gave me a positive distance for how hight it jumped and asked me to find the time this particular problem which isn't this one was in the back of the book and i got the answer right but the thing is I considered acceleration to be positive... and the height was positive to wouldn't accelration have to be negative...

I DON't understand...
 
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  • #2
Yup...generally, gravitational acceleration is taken as negative. Sometimes, depending on how you do the problem, you ignore the negative/positive signs and you get it right...but that is usually because you compensate for it in the equations without noticing.

When doing kinematics, just know that if a vector points in the negative direction, you take it as negative and if it points in the positive direction, its positive (this applies to acceleration, velocity, displacement...). In the problem you gave, Up is usually positive and Down is usually negative.
 
  • #3
so when i find the distance to i take gravity to be positive or negative?
 
  • #4
You did well taking it negative.
 
  • #5
even when i find the distance use negative?
in this problem finding how high it goes use negative?
 

FAQ: One Dimensional Baseball Kinematics

What is one dimensional baseball kinematics?

One dimensional baseball kinematics is the study of the motion of a baseball along a single axis. It involves analyzing the position, velocity, and acceleration of the baseball over time.

How is one dimensional baseball kinematics different from regular baseball?

One dimensional baseball kinematics focuses solely on the motion of the baseball, while regular baseball also includes factors such as player movements and interactions between players and the ball.

What are the key equations used in one dimensional baseball kinematics?

The key equations used in one dimensional baseball kinematics are the equations for position, velocity, and acceleration, which are:

Position (x) = Initial position (x0) + Initial velocity (v0) * Time (t) + 1/2 * Acceleration (a) * Time (t)^2

Velocity (v) = Initial velocity (v0) + Acceleration (a) * Time (t)

Acceleration (a) = Change in velocity (v) / Time (t)

How does air resistance affect the motion of a baseball in one dimensional kinematics?

Air resistance, also known as drag, can affect the motion of a baseball in one dimensional kinematics by slowing it down and changing its trajectory. This is because the air resistance force acts in the opposite direction of the baseball's motion, causing it to decelerate.

What real-life applications does one dimensional baseball kinematics have?

One dimensional baseball kinematics has many real-life applications, such as analyzing the trajectory of a baseball pitch, predicting the distance a home run will travel, and determining the speed and direction of a thrown ball. It is also used in the development of pitching machines and in the design of baseball stadiums to optimize player performance.

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