# Angle of Football Kickoff

1. Sep 11, 2010

### needhelpfast

1. The problem statement, all variables and given/known data

Two footballs, A and B, are kicked from level ground with identical initial speeds, but with θA greater than θB.
Which football reaches a higher elevation?
Which football travels farther?
Which football stays in the air longer, i.e., has the greater hang time?
Which football has the greater horizontal component of velocity?

2. Relevant equations

vx0=v0cos(angle)
vy0=v0sin (angle)
t=vy0/g
y=((vy0^2)-vy^2)/g
x=vx0*t
3. The attempt at a solution

I thought the answers were Football A, Football B, Football A, and then Football B, but these were wrong. I did a plug-in for this problem and I used 60 degrees for Angle A and 50 for Angle B with an initial velocity of 20 m/s. When I did all of the calculations out, I got the results I said above.

2. Sep 11, 2010

### jobsism

3. Sep 11, 2010

### PhanthomJay

Try using Angle A =45 degrees and Angle B =0 degrees. Which one travels farther? The question is missing information.

4. Sep 11, 2010

### needhelpfast

There is an option that says "depends on the angle."

5. Sep 11, 2010

### PhanthomJay

I like that option

6. Sep 12, 2010

### needhelpfast

so since every equation above contains a vy0 or vxo, that would means that each answer is dependent on the angle?

7. Sep 12, 2010

### PhanthomJay

No. Look at the last one, for example.
They both have the same initial velocity at angle A or B. Which one would have the greater x component of the initial velocity?