Projectile Motion: Finding the Angle of Launch

AI Thread Summary
A soccer ball is kicked from a 260m building with an initial speed of 22m/s and travels horizontally for 165.5m over 8.3 seconds. To find the launch angle, the horizontal speed is calculated as 19.94m/s, which is a component of the initial speed. By using trigonometric principles, the angle of launch is determined to be approximately 25 degrees. The discussion highlights the importance of understanding velocity components in projectile motion. Overall, the solution emphasizes the application of basic physics concepts to solve the problem effectively.
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Help with projectile motion :(

1. Homework Statement
A soccer ball is kicked from the roof of a 260m building. The ball is given an initial speed of 22m/s. It is airborne for a period of 8.3s and travels horizontally for 165.5m before hitting the ground. What is the angle ( in degrees) at which the soccer ball was kicked?


2. Homework Equations
No idea :(

3. The Attempt at a Solution
I don't even know where to begin
 
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You could start with speed= distance /time.
Then think about components of velocity.
 


I honestly have no idea what I'm doing on this question. I'm completely lost.
 


Horizontally the ball moves 165.5m in 8.3s. What is the horizontal speed?
 


19.94m/s
 


19.94 is a component of the initial 22m/s.
Draw a right angled triangle with 22 on the hypotenuse, 19.94 on the adjacent side and work out the angle.
 


24.99 degrees, rounded off to 25 degrees.
 


Yep that's the right answer. That is all that was needed.
 


Hah, I got that before when playing around with Δdχ= VixΔt
You're awesome, I'm an idiot lol. Thanks :)
 
  • #10


Why did you erase the question? This thread might have helped other people.
 
  • #11


HallsofIvy said:
Why did you erase the question? This thread might have helped other people.
I fixed it.
 
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