Solve Kinematics Problem: Baseball Thrown at 44.1 m/s

In summary, the conversation discusses how to find the maximum height of a baseball thrown straight up with an initial velocity of 44.1 m/s. It is mentioned that the only acceleration force acting on the ball is gravity and that the final velocity at the highest point will be 0. The use of kinematic equations is suggested to calculate the distance.
  • #1
Power of One
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A baseball is through across the plate at 44.1 m/s. If it had been through straight up, how high would it have gone.I'm not sure how to find the displacement since all I'm given is the initial velocity. Am I missing something here?

 
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  • #2
There is a downward acceleration g (the acceleration by Earth's force of gravity).
 
  • #3
You also know final velocity and acceleration.

Since it is thrown in the Y direction, the only acceleration force is gravity.

Also, remember that you are trying to find out its maximum height. You know that the ball will have a velocity of 0 at its highest point, so you know the final velocity.

That should be enough to calculate distance using the kinematic equations.
 
  • #4
Thank you for your help. I can't believe I forgot about acceleration due to gravity.
 

FAQ: Solve Kinematics Problem: Baseball Thrown at 44.1 m/s

How do I calculate the distance traveled by the baseball?

To calculate the distance traveled by the baseball, you can use the formula d = v0t + 1/2at2, where d is the distance, v0 is the initial velocity (44.1 m/s in this case), t is the time, and a is the acceleration (in this case, -9.8 m/s2 due to gravity).

What is the maximum height the baseball will reach?

The maximum height can be calculated using the formula h = v02/2a, where h is the maximum height. In this case, the maximum height would be approximately 98.8 meters.

How long will it take for the baseball to reach the ground?

The time it takes for the baseball to reach the ground can be calculated using the formula t = (-v0 ± √(v02 + 2ad)) / a, where t is the time and d is the distance traveled. In this case, the time would be approximately 4.5 seconds.

What is the velocity of the baseball at its highest point?

The velocity at the highest point can be calculated by using the formula v = v0 + at, where v is the final velocity, v0 is the initial velocity, a is the acceleration, and t is the time. In this case, the velocity at the highest point would be 0 m/s.

What factors can affect the accuracy of the calculated results?

The accuracy of the calculated results can be affected by factors such as air resistance, wind, and the release angle of the baseball. Additionally, the actual conditions of the environment may differ from theoretical assumptions, which can also impact the accuracy of the calculations.

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