A Problem I Was Considering But Seems So Simple

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SUMMARY

The discussion centers around the physics of a ball thrown into the air, specifically analyzing its velocity at different time intervals. It is established that the speed of the ball at the second second is equal to its speed after the third second, indicating a symmetrical motion. The initial velocity at time zero is a critical point of analysis, with participants suggesting that it could be negative, although this would not yield a practical scenario. The use of symmetry in projectile motion is emphasized as a key concept for solving the problem.

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A ball is thrown up in the air and the speed of the ball at the second second is equal to the speed of the ball after the third second. But what would be the velocity of the ball when the time equals zero.

I have been thinking about this a lot and I'm certain that there are two answers (and I think one is negative)
 
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Show how you solved it. (A negative initial velocity wouldn't get you very far.)

Hint: Use symmetry.
 
Another hint: The speeds are equal.
 

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