Parametric Eqns: player kicks ball w/ velocity of 88 ft/s

[Tigertigre2000]

Kevin Butler, a place kicker for the chicago Bears, kicks a football in a game with the Dallas Cowboys. The ball leaves the ground with a velocity of 88 ft/s at an angle of 30.0 degrees above the horizontal.

A) Find the time the ball is in the air
B) If the ball is kicked from the Bear's 30 yard line and is aimed straight down the field, where does it land?
C) Find the maximum height of the ball.

I know I'm suppose to use the equations:

x = t(v)cos degree
y = t(v)sin degree -16t^2

But I can't figure out how to start.

 

[galactus]

This is skeeter's forte, but I will give it a go.

At the top of the jump the vertical component of velocity goes to 0.

The total time the ball is in the air is given by \(\displaystyle \L\\v_{y}=v_{0}sin({\theta})-gt\Rightarrow{(88)sin(30)-(32.15)t=0\Rightarrow{t=1.37\;\ sec}\).

t is the time is takes to reach the top of the kick. Because of symmetry of the vertical motion, you must multiply by 2 to get the total time in the air.

The time in the air is then given by 2t=2.34 sec



To find how far the ball travels, use \(\displaystyle \L\\x=(v_{0}cos({\theta}))t\)

I don't normally answer physics. I leave that to skeeter. He'll be along to correct me if I erred.

 

[Tigertigre2000]

Thanks for giving it a shot. I finally understand how to start it off, which is a big help. Thanks again.