Calculating Initial Velocity of Projectile Motion Without Time Information

In summary: The summary of the conversation is that the initial velocity of a projectile can be calculated without knowing the time by using the formula V^2 = V0^2 + 2a(\Deltar), where r is the position. However, if the projectile is bounced at some point before reaching its final landing spot, the best approach is to set up the problem using the same formula, but with an unknown lateral displacement (x). The other parts of the flight can be treated as symmetrical arcs with the velocity sign changed due to the elastic collision. The problem can also be solved using conservation of energy.
  • #36
rl.bhat said:
Yes. I didn't notice.
0.1 = 4.43*t - 4.9*t^2
Or 4.9*t^2 - 4.43*t + 0.1 = 0
When I solved it I got different answer. Check it.

I get t=0.023s or t=0.881s and since I want the time for when the ball is coming back down I use t=0.881s I believe.
 
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  • #37
OK.Then your answer is correct.
 
  • #38
Okay, thank you to everyone that helped out with this.
 
  • #39
Wait a minute. There is one flaw in your solution.
According to you the total time of flight is 1.333 s.
During that time the vertical displacement is 8.7 m!
How is that? .
 
  • #40
That's assuming the ball is falling the entire time and not considering the bounce.
 
  • #41
You have taken two time intervals to calculate the time of flight, taking into account the bounce.
But the vertical space in only 1m!
 
  • #42
rl.bhat said:
You have taken two time intervals to calculate the time of flight, taking into account the bounce.
But the vertical space in only 1m!

Yes I know, the ball falls 1m then bounces back up 1m and finally lands after traveling another 0.9m. This takes a total time of 1.333s.
 
  • #43
OK. Then it is alright.
 

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