Projectile Motion Homework Problem: Finding Time for a Ball Dropped from 4m

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SUMMARY

The discussion focuses on solving a projectile motion problem involving a ball dropped from a height of 4 meters with an acceleration due to gravity of -10 m/s². The key to finding the time it takes for the ball to hit the ground lies in applying the equations of motion, specifically the one that relates distance, acceleration, and time. The initial velocity is zero since the ball is dropped, simplifying the calculations. Participants emphasize the importance of understanding the basic four equations of motion to solve such problems effectively.

PREREQUISITES
  • Understanding of basic physics concepts, specifically projectile motion.
  • Familiarity with the four equations of motion.
  • Knowledge of acceleration due to gravity (approximately -10 m/s²).
  • Ability to interpret velocity-time graphs.
NEXT STEPS
  • Study the four equations of motion in detail.
  • Learn how to derive time from distance and acceleration in projectile motion problems.
  • Explore resources on velocity-time graphs and their applications in physics.
  • Practice solving various projectile motion problems to reinforce understanding.
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those tackling projectile motion problems, as well as educators seeking to clarify concepts related to motion and acceleration.

AnomalyCoder
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Homework Statement


You drop a ball (0.5kg) from a height of 4m.
How long did the ball take to hit the ground?

Acceleration = -10 due to gravity.

Homework Equations


\Deltax = Area Under a Velocity-Time graph.
^ In this case, it will be .5*Velocity*Time.

The Attempt at a Solution


Acceleration = -10 due to gravity.
After that, I have no idea. I mean, how does one figure out what anything is?
All that is given is the ball weight and the height. How do you find the velocity without the time?

I just need some guidance, anyone know of a good resource that explains this topic?
Once I find the Velocity, finding time would be no problem whatsoever.
 
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When a physics problem says "drop", it is understood that it means the initial velocity is zero.

You can look on this as a code, but it should also make sense that "throw" would be the word used if Vi\neq0.
 
Are you familiar with the basic 4 equations of motion? There's heaps of info all over the web, or even just check out http://en.wikipedia.org/wiki/Equations_of_motion" .

There is one that concerns itself with distance (height), acceleration and time.

Sometimes the questions will give you redundant data to confuse you. Look at the 4 equations and see which ones use an objects mass (measured in kg).

All that is given is the ball weight and the height. How do you find the velocity without the time?

Keep in mind that the statement asks for time, not velocity.
 
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