Question

Suppose a soccer player kicks the ball from a distance 30 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be above the horizontal.

Answer 1

40 degrees*

Answer 2

[v sin40]^2 = 2 (9.8) 2.4. This assumes vy final is zero as it crosses the goal.
v = sqrt(2*9.8*2.4)/sin40

Answer 3

10.67 m/s

Answer 4

Suppose a soccer player kicks the ball from a distance 15 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 35° above the horizontal.