A soccer ball is kicked from the ground with x₀ = 6 m, and initial speeds v_0x = 3 m/s and v_0y = 4 m/s. Ignore friction and air resistance.

1. Draw a diagram of the problem, including a coordinate system and known variables.
2. Calculate the position of the ball (x and y values) at time t = 0.5 s.
3. Determine the time when the ball hits the ground.
4. Write down a simplified formula that you could use to determine the time when the ball is at its maximum height. Explain how you would calculate the time, but do not actually calculate it.