A goalie slips and falls to the ground and the opponent's forward, 20 m out in front of the net boots the ball toward the net at a speed of 15.9m/s and an angle of 45 degrees above the horizontal. Does the ball go into the net?

Answer 1

The ball (neglecting spin and drag effects) travels
(V^2/g) = 25.7 m before hitting the ground. At the net, its height must be considered to make sure it does not go over the net. It can certainly get there.

Travel time time to the net
t = 20 m/(15.9 cos 45)= 1.78 s

ball height after reaching net
= 11.24 t - (g/2)t^2 = 4.5 m

That is higher than the soccer goal height of 8 feet = 2.6 meters

So it sails over the goal.

Didn't they tell you the soccer goal height?

Answer 2

The crossbar of the goal is 2.5 m above the ground. Thanks so much!