Free Fall and the Accelaration of Gravity

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SUMMARY

The discussion centers on solving a kinematics problem involving the motion of an object thrown vertically. The object reaches 50% of its maximum height in 2 seconds, indicating a parabolic trajectory governed by the equations of motion. The total maximum height can be calculated using the formula for displacement under constant acceleration, specifically utilizing the acceleration due to gravity (9.81 m/s²). The total travel time can also be derived from the time taken to reach the maximum height, which is double the time to reach half the height, resulting in a total travel time of 4 seconds.

PREREQUISITES
  • Understanding of 1D kinematics
  • Familiarity with the equations of motion
  • Knowledge of gravitational acceleration (9.81 m/s²)
  • Ability to solve quadratic equations
NEXT STEPS
  • Review the equations of motion for uniformly accelerated motion
  • Practice solving kinematics problems involving vertical motion
  • Learn how to derive maximum height from given time intervals
  • Explore the concept of projectile motion and its applications
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and motion analysis, as well as educators seeking to enhance their teaching methods in these topics.

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If I were to throw an object in the air from the ground and it would reach 50% of its maximum height in 2 seconds, how does one find the object's total maximum height and total travel time?

This is the last question in my 1D kinematics chapter. I've been successful in resolving my other assigned questions but I can not wrap my mind around this one. In comparaison to the others, the question seems to be lacking sufficient data for me to able to resolve it. Any guidance would be appreciated. Thanks!
 
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There is sufficient data to solve the question.

The template you deleted is there for a reason - So we can provide better help, rather than teasing info piecewise out of you. Fill it out and we'll go from there:

Homework Statement

Homework Equations

The Attempt at a Solution

 

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