How High Did the Object Fall If It Took 1.5 Seconds to Drop the Last 30 Meters?

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SUMMARY

The problem involves calculating the height from which an object fell, given that it took 1.5 seconds to travel the last 30 meters before impact. The correct answer is 38.2 meters. The relevant equations for motion under gravity, specifically those relating distance, velocity, time, and acceleration, are essential for solving this problem. The discussion emphasizes the importance of understanding these kinematic equations to derive the solution accurately.

PREREQUISITES
  • Understanding of kinematic equations for uniformly accelerated motion
  • Knowledge of gravitational acceleration (approximately 9.81 m/s²)
  • Ability to manipulate algebraic equations
  • Familiarity with basic physics concepts related to free fall
NEXT STEPS
  • Study the kinematic equations, particularly those relating distance, time, and acceleration
  • Learn how to derive the height of an object in free fall using the equation: h = 0.5 * g * t²
  • Explore examples of free fall problems to reinforce understanding
  • Investigate the implications of air resistance on falling objects
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion under gravity.

jaypea65
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Homework Statement



A certain freely falling object requires 1.50 sec to travel the last 30 m before it hits the ground. From what height above the ground did it fall?

Homework Equations





The Attempt at a Solution


the answer is 38.2, but I cannot figure out what formula to use to get there.
 
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jaypea65 said:

Homework Statement



A certain freely falling object requires 1.50 sec to travel the last 30 m before it hits the ground. From what height above the ground did it fall?

Homework Equations



The Attempt at a Solution


the answer is 38.2, but I cannot figure out what formula to use to get there.

Welcome to PF.

Here are some equations for relating x, v, t, a.

https://www.physicsforums.com/showpost.php?p=905663&postcount=2

Maybe you can get an idea.
 

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