A ball is thrown up , another is dropped. Do they arrive at the same t

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In summary, two balls are thrown, one up and one dropped, and the question is if they arrive at the same time on the ground. There are different equations and methods that can be used to solve this problem, including finding the total distance traveled and the total time. Ultimately, it is suggested to perform an experiment to see the results firsthand. Another approach is to consider the ball that is thrown upwards eventually coming to a halt at a certain height, making the problem similar to two balls being dropped from different heights.
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cmkc109
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Homework Statement



A ball is thrown up , another is dropped. Do they arrive at the same time?


Homework Equations





The Attempt at a Solution



I think they won't because the ball which is thrown up has a greater distance to travel, but I am not sure, can someone explain please?
 
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  • #2
Arrive where?
 
  • #3
the ground of course..
 
  • #4
If I get the question right, you should do the following;

Assume that the current height of the balls is x. The first one is thrown up whereas the second is dropped. Distance the second ball travels can be found by using the following equation ; x=x0 + V0.t + 1/2at²

Now, let's say the first ball will go h higher hence the total distance travels is 2h+x. Now, you can do the same above equation and can find the total time.

Hope, I'm not mistaken.
 
  • #5
Hey, what the, just get two balls and perform the experiment.
 
  • #6
There is an easy way to look at the problem. The ball that is thrown upwards will eventually come to a halt at some height H. So in effect you have two balls that are being dropped from different heights...and one has a head start.
 

FAQ: A ball is thrown up , another is dropped. Do they arrive at the same t

1. Do the balls have the same initial velocity?

Yes, both balls are initially thrown/dropped from the same height and therefore have the same initial velocity.

2. What factors affect the time it takes for the balls to reach the ground?

The main factors that affect the time it takes for the balls to reach the ground are the height from which they are thrown/dropped, the initial velocity, and the effects of air resistance.

3. Will the balls reach the ground at the same time?

Assuming there are no external factors such as air resistance or wind, the balls will reach the ground at the same time. This is due to the fact that both balls experience the same acceleration due to gravity.

4. What happens if one ball is thrown with more force than the other?

If one ball is thrown with more force, it will have a higher initial velocity and will reach a greater height before falling back to the ground. However, both balls will still reach the ground at the same time.

5. Does the mass of the balls make a difference in their arrival time?

No, the mass of the balls does not affect their arrival time. This is because the acceleration due to gravity is independent of the mass of the object and only depends on the force of gravity and the distance from the object to the center of the Earth.

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