What is the Range of a Soccer Player's Kick at 20m/s and 15° Angle?

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Homework Help Overview

The discussion revolves around calculating the range of a soccer player's kick, where the player kicks a stationary ball at a speed of 20 m/s at an angle of 15 degrees to the horizontal. The problem involves concepts from projectile motion, including initial velocity components and the effects of gravity.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss calculating the vertical and horizontal components of the initial velocity, questioning how to determine the time of flight and the effects of gravity on the projectile's motion. There are attempts to apply various equations related to projectile motion, and some participants express confusion about which values to use in their calculations.

Discussion Status

The discussion is active, with participants exploring different aspects of the problem, including the calculation of vertical speed and the time to reach maximum height. Some guidance has been offered regarding the horizontal motion and the absence of horizontal acceleration, but there is no explicit consensus on the correct approach or final answer.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can use or the methods they can apply. There is also uncertainty about the correct interpretation of the initial velocity components and how to apply them in the context of the problem.

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Homework Statement


a soccer player kicks a stationary ball at a speed of 20m/s at an angle of 15\circ to the horizontal.


Homework Equations



i think it would be Rmax=Vo2/g ?

The Attempt at a Solution


19.32 2/9.8=38.09m ??

I'm really lost can someone help me please!
 
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From the angle work out the vertical speed
Then think about how the vertical speed changes with time

hint. what happens at the top of the flight?
 
mmm... so i calculate the vertical speed: 20sin15=5.18m/s? and with that i can find at what time it reaches the max height by doing V=Vo+at: V=5,18/9.8= 0.53s do i have to multiply the time by 2 and then do the same thing to find the horizontal range?

X=Xo+volt-1/2gt(square) where g=0 and Xo=0 too, so it would be X=19.32*(2*0.53s)?
 
Whats the acceleration in the horizontal direction?

hint. if you ignore air resistance what forces act horizontally
 
No idea...im sooo lost! i looked in my book and found this formula R=Vo(square)sin2teta/g omg I am freaking out! what Vo i have to take?!? 20m/s? the Vy? or the Vx?
 
is it (19.32m/s)^2 sin(30)/9.8m/s^2= 19.04m?
 
hmm...the only force i see is the Vx=20m/s cos 15=19.32m/s it's the only one horizontaly
 
yellow_angel said:
mmm... so i calculate the vertical speed: 20sin15=5.18m/s? and with that i can find at what time it reaches the max height by doing V=Vo+at: V=5,18/9.8= 0.53s do i have to multiply the time by 2 and then do the same thing to find the horizontal range?

X=Xo+volt-1/2gt(square) where g=0 and Xo=0 too, so it would be X=19.32*(2*0.53s)?

All of this is correct!
(Although, you didn't show where or how you got 19.32).
 
yellow_angel said:
hmm...the only force i see is the Vx=20m/s cos 15=19.32m/s it's the only one horizontaly
Correct, there is no horizontal force, so no aceleration, so speed is constant
 

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