a kicker tries to make a field goal by kicking the ball over the goal post, which is 3.05 meters high. If he is 36 meters away and kicks the ball at 20 m/s and 53-degrees angle, will it go over the goal post? (show work)

Yes, the ball will go over the goal post by 0.769 meters

Explanation:

The given parameters are;

The height of the goalpost = 3.05 meters

The distance of the kicker from the goal post = 36 meters

The speed with which the ball is kicked, v = 20 m/s

The direction/path of the ball, θ = 53°

Therefore, we have;

The vertical component of the velocity, = v × sin(θ) = 20 × sin(53°) ≈ 15.973 m/s

The horizontal component of the velocity, vₓ = v × cos(θ) = 20 × cos(53°) ≈ 12.036 m/s

The time, t. to reach the goal post with the horizontal velocity is given as follows;

Time = Distance/Velocity = 36/12.036 ≈ 3 seconds

The height. h. of the ball at 3 seconds is given as follows;

h = × t - 1/2 × g × t²

h(3) = 15.973 × 3 - 1/2 × 9.8 × 3² = 3.819 m

The time to maximum height, is given as follows;

v = u - g·t

v = 0

u = 15.973 m/s

∴ u = g·t

15.973 = 9.8× t

t = 15.973/9.8 ≈ 1.63 seconds

Total time the ball stays in the air = 2 × 1.63 ≈ 3.26 seconds

Therefore, the ball is in the air at 3 seconds, and it will go over the goal post by 3.819 m- 3.05 m = 0.769 meters

A dribble ends when the player touches the ball with both hands simultaneously or permits the ball to come to rest in one or both hands. The ball being touched with both hands simultaneously (dribble with both hands) is a double dribble

Nothing in the rulebook that says a player cannot start a dribble with two hands. A dribble can end when touching both hands simultaneously, but a single dribble is OK as long as you catch the ball

Explanation: