The football is kicked over the goalpost with an initial velocity of vA=32 m/s as shown. Determine the point B (x,y) where it strikes the bleachers.

2 answers

1. In the figure you refer to, the ball is kicked at a 60 degree angle from horizontal. See the following
   
   http://www.ce.metu.edu.tr/~ce222/files/Assignment1_1011_spring.pdf where the Figure is part of Problem 4.
   
   What you need to do is solve simultaneous equations for the bleacher stairs linear slope and the trajectory of the football.
   
   Bleacher stairs:
   
   (1) x = 22 + y (x > 22m)
   
   Trajectory:
   y = 27.7 t - 4.9 t^2
   x = 16 t
   
   You can eliminate t to get the parabola equation for the trajectory:
   (2) y = 1.73 x - 0.0191 x^2
   
   x is the horizontal distance travelled by the football.
   
   Solve (1) and (2) to get x and y where the ball hits the bleachers. You should also verify that the ball clears the goal post.

   Answer ID
   525161

   Created
   April 4, 2011 10:59am UTC

   Rating
   0

   URL
   https://questions.llc/answers/525161

2. thank you so much! <3
   =))))))))))

   Answer ID
   525215

   Created
   April 4, 2011 2:33pm UTC

   Rating
   0

   URL
   https://questions.llc/answers/525215