Projectile Motion (Initial Velocity)

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To determine the initial velocity of a ball kicked over a wall, the discussion begins with calculating the angle of projection using trigonometry, leading to a misunderstanding about the trajectory of the ball. The correct approach involves analyzing the vertical motion first, using kinematic equations to find the vertical component of the initial velocity. After confirming the vertical component as approximately 8.86 m/s, the participants discuss finding the time of flight using average vertical speed. The horizontal component is calculated next, leading to the overall initial velocity of 23.9 m/s. The conversation also touches on the use of quadratic equations and methods for calculating revolutions in angular motion, emphasizing the importance of understanding basic kinematic principles.
  • #31
one revolution = 2*pi radians

31.5 / 2*pi = just over 5 revolutions :)

but i had to find 2*pi first then use that answer to divided into 31.5 rads.. otherwise the answer will be completely different for some reason.

As for average angular speed:

20 / 2 = 10 rpm?
 
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  • #32
Milkster18 said:
one revolution = 2*pi radians

31.5 / 2*pi = just over 5 revolutions :)
Good.

but i had to find 2*pi first then use that answer to divided into 31.5 rads.. otherwise the answer will be completely different for some reason.
Not sure what you mean.

As for average angular speed:

20 / 2 = 10 rpm?
No. It goes from 20 rpm to 40 rpm, so what would the average be? (It can't be 10 rpm!)
 
  • #33
Ah

W1 + W2 / 2

20 + 40 / 2 = 30 rpm

So now i have average how does this make things easier?

Im from the UK by the way so i think some units / symbols are different to US if your from there.

Thanks for the help again. :)
 
  • #34
Milkster18 said:
Ah

W1 + W2 / 2

20 + 40 / 2 = 30 rpm
Good.

So now i have average how does this make things easier?
Use the same formula as before: Distance = ave speed X time
Here "distance" is replaced by angle/revolutions.

Hint: How many minutes is 10 seconds?
 

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