How can I find the horizontal distance without knowing the initial velocity?

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To find the horizontal distance traveled by a football kicked at a 45-degree angle without knowing the initial velocity (Vi), one can use the formula R = (V^2_0 * 2 * sin θ) / g, where R represents the range or distance, θ is the launch angle, and g is the acceleration due to gravity. The discussion emphasizes that, while Vi is necessary for calculations, the horizontal distance can be derived using this formula if Vi is known. Participants suggest using trigonometric components of the velocity, specifically V(y) = V * sin(45) and V(x) = V * cos(45), to express time in the air and other parameters. Ultimately, the conversation revolves around the need for Vi to solve the problem and the equations that relate these variables. Understanding these relationships is crucial for solving projectile motion problems effectively.
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how do i solve for this i only know how to do it with a degree and an Vi

the question is

a football is kicked at 45 degrees and travels 120 m before hitting the ground

and i need

Vi
time in air
and max hight

how do i get vcos45 without a velocity?

thanks
 
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If you did know Vi and an angle, could you work out how far it traveled ?
How would you do that ?
 
i don't have Vi


edit: could you work it out for me like with just equations
 
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kevinlikesphysics said:
i don't have Vi
edit: could you work it out for me like with just equations

I think the rules here are that you cannot get direct help on a homework problem until you have at least shown some of your own work.
 
kevinlikesphysics said:
i don't have Vi
edit: could you work it out for me like with just equations
You have to find Vi, yes,
But, if if you did have a value for Vi, and also had an angle, could you then work out the distance travelled.
Just use symbols and show us some working.
 
kevinlikesphysics said:
how do i get vcos45 without a velocity?
thanks
This should help you along a bit:


V(y)=vsin45
V(x)=vcos45

So t=(2vsin45)/g

d(x)=120

d(x)=v(x)t
120=(vcos45)((2vsin45)/g)
120g=2vcos45vsin45
v^2=(120g)/(2cos45sin45)
v=sqrt{(120g)/(2cos45sin45)}
 
Beam me down said:
This should help you along a bit:
V(y)=vsin45
V(x)=vcos45
So t=(2vsin45)/g
d(x)=120
d(x)=v(x)t
120=(vcos45)((2vsin45)/g)
120g=2vcos45vsin45
v^2=(120g)/(2cos45sin45)
v=sqrt{(120g)/(2cos45sin45)}
I think that constitutes giving him to much help. I think there is a equation that makes it simpilar, I'm looking now.
Ok, found it. Now, let's hope I remember how to layTex.
R = (V^2_0 \cdot 2 \cdot sin \theta) / g
this is the formula you use to find V_0 or as some say, V_i
 
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I kinda remember. I want it to put the multipling dots, but instead it puts dots on top. Hmmm... Guess I will go find out by looking at other tex.
 
lawtonfogle said:
I think that constitutes giving him to much help. I think there is a equation that makes it simpilar, I'm looking now.
Ok, found it. Now, let's hope I remember how to layTex.
R = (V^2_0 \cdot 2 \cdot sin \theta) / g
this is the formula you use to find V_0 or as some say, V_i


is R the distance ?
 
  • #10
Yes, it is the distance the object has traveled.
 
  • #11
It is the horizontal distance the object has traveled. :)
 
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