More Football Projectile Motion

AI Thread Summary
To determine the angle at which the kicker must kick the ball to ensure it goes through the uprights, the equations of projectile motion are applied. The kicker's initial velocity is 38.4 m/s, and the uprights are 3.048 m high. The horizontal and vertical components of the initial velocity are calculated using trigonometric functions. The maximum height of the ball is found to be 225.05 m, which exceeds the height of the uprights, indicating the ball can potentially clear them. Further calculations are needed to find the exact angle and the distance in yards for the field goal.
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Homework Statement


A kicker is trying to kick a field goal. The uprights are 3.048m off the ground.
a)At what angle must he kick the ball to ensure the ball goes through the uprights if he kicks it at a velocity of 38.4/s (assume the uprights are at the peak of the ball)?
b) how many yards was the field goal (1yard = 0.914m)

Homework Equations


vix= vicostheta
viy= visintheha
vf=vi+at
max height= vi+1/2at^2
t= 2d divided by acceleration

The Attempt at a Solution


Using the equations above I found vix and viy to be
vix=38.4costhetha
viy=38.4 sintheta
to find the time I divided vi by acceleration to get 3.91s then I calculated the max heiight to ground and got 225.05m as an answer, then I added 3.048m to this to get a total of 228.10369m

From this point on I'm unsure how to figure out if the ball went thru, how to find the angle, and how to calculate the yards.
 
Physics news on Phys.org
You know the height of the uprights, you know the ball trajectory tops at the uprights, so calculate the time a ball takes when free falling from there and the speed at ground.
 

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