If a marble launcher is elevated 53.13° above the ground, how long is the marble in flight?

Question

The initial velocity is 30m/s.

Answer 1

The marble has a vertical and horizontal component. In the vertical plane
x= 1/2 at^2 + vot. Here x=0, a =- 9.8 m/sec^2 and vo = 30 Sin 53.13 or about 24 m/sec
Then 24 t = 4.9 t^2 and t = appx 5 sec.