Will the Football Reach the Goalpost? - Projectile Motion in Soccer Practice

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Homework Help Overview

The problem involves projectile motion, specifically analyzing whether a football kicked at a certain speed and angle will reach a goalpost that is a specified distance away and at a certain height. The context is set in a soccer practice scenario.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the initial conditions of the problem, including initial velocity and acceleration. There are attempts to apply equations of motion to determine the time of flight and the height of the ball at that time. Some participants question the interpretation of the problem and the calculations involved.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some have provided calculations and reasoning, while others express confusion about the terms and context. There is no explicit consensus, but some guidance has been offered regarding the setup of the problem.

Contextual Notes

There is a noted discrepancy in the units used for acceleration, which has led to confusion in calculations. Participants are also questioning the definitions and terms related to the sport, which may affect their understanding of the problem.

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Homework Statement



in a soccer practice session the football is kept at the centre of the field 40 yards from the 10 feet high goalpost. a goal is attempted by kicking the football at a speed of 64 feet/second at an angle of 450(45 degree) to the horizontal. will the ball reach the goalpost?

Homework Equations





The Attempt at a Solution

 
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Write down the initial velocity, acceleration & distance for both x & y directions.
Then you'll have to use the equations of motion.
 
ok i have proceeded in this way. just check where am i wrong:-
u (in both x and y directions) = 64/root 2 feet/sec
distance of the ball from goalpost = 40 yards = 120 feet
a (in x direciton)=0
therefore, 120 = 64/root 2 x t + 1/2 x 0 x t^2 => t = 15 x root 2 / 8 second
therefore, s (in y direction) in that time = 64/root 2 x 15 x root2 /8 + 1/2 x (-10) x 225/32
= 85 feet (approx.)
but, 85 feet is more than 10 feet which is the height of goalpost. therefore it will pass over the goalpost and it won't be a goal.
therefore the answer is no.
but in the textbook it is given that the answer is yes.
 
I don't watch football. So I have no idea what the terms mean. But I think question is asking whether ball will be able to travel 120 ft. or not. which according to your calculation it would. (May be i am wrong i don't know)
 
I'm still trying to figure out what a football is doing at a soccer practice...
 
utkarsh1 said:
I don't watch football. So I have no idea what the terms mean. But I think question is asking whether ball will be able to travel 120 ft. or not. which according to your calculation it would. (May be i am wrong i don't know)

yah, if the question asks for that then i am done with the problem. it's quite easy. thanks a lot!
 
i cannot believe what a silly mistake i was doing. i was taking everything in feet and second but was taking acceleration in y direction in metre/second square. now i have solved the problem and got the correct answer. the acceleration should be 33 ft/s^2 (approx.).
 
Last edited:

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