1. A soccer goalkeeper kicks a soccer ball from their own goal into the opponent's goal. The distance

between the goals is 95m. This is sketched below. [15 points]

a. The goalkeeper wants the ball to travel as far as possible. At what angle should he kick the ball?

b. The goalkeeper kicks the ball with an initial speed of 30m/s. How long will the ball be in the air

before touching the ground? You should use the angle you gave in A. [5 pts]

c. Will the ball bounce before going into the opponent's goal? Justify your answer. [6 pts]

d. Sketch the path that the ball of the ball as it goes from the goalkeeper into the opposite goal.

Draw the goals in your sketch. [3 pts]