An apple falls from a tree and 0.5 second later hits the ground

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SUMMARY

An apple falls from a tree and hits the ground after 0.5 seconds, reaching a velocity of 4.9 m/s. The correct formula for calculating the velocity of a falling object is v = gt, where g is the acceleration due to gravity, approximately 9.8 m/s². In this scenario, the apple's velocity increases by 9.8 m/s for every second of free fall, resulting in a velocity of 4.9 m/s after half a second. It is crucial to use the correct units when applying this formula.

PREREQUISITES
  • Understanding of basic physics concepts, specifically free fall and acceleration.
  • Familiarity with the formula v = gt for calculating velocity.
  • Knowledge of gravitational acceleration on Earth (9.8 m/s²).
  • Ability to convert time into seconds for calculations.
NEXT STEPS
  • Study the effects of air resistance on falling objects.
  • Learn about the kinematic equations for motion under constant acceleration.
  • Explore the concept of terminal velocity and its implications in free fall.
  • Investigate the differences in gravitational acceleration on other planets.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of free fall and gravitational acceleration.

espo
will you tell me if my answer is correct? An apple falls from a tree
and 0.5 second later hits the ground. how fst is the apple falling
when it hits the ground. i think it is v = gt 5.0m/s2
 
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Originally posted by espo
will you tell me if my answer is correct? An apple falls from a tree
and 0.5 second later hits the ground. how fst is the apple falling
when it hits the ground. i think it is v = gt 5.0m/s2
Yes, espo, that's correct. Since the apple experiences a constant acceleration, its velocity is growing at a constant rate. In other words, the apple's velocity increases by 9.8 m/s during every second it falls.

In a half a second, its velocity increases only half of what it would in a full second, or approximately 5 m/s.

(Be careful with your units -- I believe you meant to say v = gt = 5 m/s, not 5 m/s^2.)

- Warren
 


Yes, your answer is correct. The formula for calculating the velocity of a falling object is v = gt, where g is the acceleration due to gravity (9.8 m/s2 on Earth). In this case, the apple would be falling at a velocity of 4.9 m/s when it hits the ground.
 

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