Projectile Motion: Finding the Angle of Launch

In summary, the conversation is about finding the angle at which a soccer ball was kicked off the roof of a building, given its initial speed, time in the air, and horizontal distance traveled. The solution involves using the equation speed = distance/time and understanding components of velocity. The final answer is 25 degrees.
  • #1
helpme2012
11
0
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
 
Last edited by a moderator:
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  • #2


You could start with speed= distance /time.
Then think about components of velocity.
 
  • #3


I honestly have no idea what I'm doing on this question. I'm completely lost.
 
  • #4


Horizontally the ball moves 165.5m in 8.3s. What is the horizontal speed?
 
  • #5


19.94m/s
 
  • #6


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.
 
  • #7


24.99 degrees, rounded off to 25 degrees.
 
  • #8


Yep that's the right answer. That is all that was needed.
 
  • #9


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.
 

What is projectile motion?

Projectile motion refers to the motion of an object that is launched into the air and moves along a curved path under the influence of gravity.

What factors affect projectile motion?

The factors that affect projectile motion include the initial velocity, angle of launch, air resistance, and the force of gravity.

How is the trajectory of a projectile calculated?

The trajectory of a projectile can be calculated using the equations of motion, which take into account the initial velocity, angle of launch, and time of flight.

How does air resistance affect projectile motion?

Air resistance can affect projectile motion by slowing down the object and altering its trajectory. This is more significant for objects with a larger surface area, such as a feather, as compared to a smaller object like a bullet.

What are some real-life applications of projectile motion?

Projectile motion has many real-life applications, including sports such as basketball, baseball, and golf, as well as activities like archery and throwing a ball. It is also used in fields such as engineering and physics for designing and analyzing the motion of objects.

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