Maximum height of baseball, given total flight time.

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Homework Help Overview

The problem involves determining the maximum height reached by a baseball given a total flight time of 7 seconds, while ignoring air resistance. The context is rooted in kinematics and the equations of motion under constant acceleration.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the initial upward velocity calculated by the original poster and question the clarity of the equations referenced. There is exploration of the time taken to reach maximum height and the conditions of the motion, including the acceleration due to gravity.

Discussion Status

The discussion is ongoing, with participants providing guidance on potential approaches to the problem. There is acknowledgment of the need for further clarification on the equations used and the variables involved in the calculations.

Contextual Notes

Some participants note the ambiguity in the labeling of equations and the necessity of understanding the motion's parameters, such as the instantaneous velocity at the peak and the time distribution of the flight. The original poster's mention of a specific answer raises questions about the methods used to arrive at that number.

JP123
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Homework Statement


The question i need to answer is: A baseball has a flight time of 7 seconds. What maximum height did it reach? (ignore air resistance.)


Homework Equations


I need to use equation 1 and equation 5 of the constant acceleration equations.


The Attempt at a Solution


I have figured out the initial upward velocity to be 34.3 seconds and now i don't know where to go from here! The answer for maximum height reached is 60.03m but i don't know how to get to this number. Please help!
 
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Since every list of equations is different, we have no idea which equations are "1" and "5."

I am assuming this problem is for a straight up flight. What is the instantaneous velocity at the top of the path? If the entire flight took 7 seconds, how long did it take to get to the top? Do you know the rate of acceleration? Do you know three of the variables for the flight to the top of the path? (yes)
 


If the upward initial velocity is 34.3 seconds, you might need more than just a tweak to finish this problem.
 


JP123 said:

Homework Statement


The question i need to answer is: A baseball has a flight time of 7 seconds. What maximum height did it reach? (ignore air resistance.)


Homework Equations


I need to use equation 1 and equation 5 of the constant acceleration equations.


The Attempt at a Solution


I have figured out the initial upward velocity to be 34.3 seconds and now i don't know where to go from here! The answer for maximum height reached is 60.03m but i don't know how to get to this number. Please help!

once you have that initial vertical velocity, you can use which ever of the 5 equations that include displacment, since you know the initial vel, the final vel [zero - it is at maximum height] the time [3.5 seconds going up, 3.5 coming back down], and the acceleration [9.8 down]
 

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