What is the total horizontal distance in meters traveled by the ball?

Question

A football is punted from the ground at an angle of 54 degrees with respect to the horizontal. The ball is in the air for a time of 1.1 seconds before it lands back on the ground.

Answer 1

x = v₀cosθt; y = v₀sinθt - gt²/2 = 0; v₀ = gt/(2sinθ) and x = gt²cotθ/ 2 = 9.8 m/s²·1.1²s²·cot54°/2 = 4.31 m