Find the range of an object coming off an inclined plane

[ZapiusMaximus]

Homework Statement

Find the range of an object coming off an inclined plane.

Relevant Equations

v=0.8542*sqrt(2gh), SUVAT

Hey Everyone, my physics teacher has assigned us a task which involves predicting the range of a ball falling down an inclined plane into a free-fall, the equation for the final velocity of the ball down the ramp, accounting for rotational velocity has been provided, this is the initial velocity for the free-fall. My method for finding range is splitting the velocity into the vertical component and then finding the time taken to fall, which is then multiplied by the horizontal velocity to find the range. However in this case I don't know how to find the time taken to fall given a non-zero initial vertical velocity and an angle that is below the horizontal.

Any help would be greatly appreciated.

 

[haruspex]

given a non-zero initial vertical velocity

Standard SUVAT equations include a variable for that.

an angle that is below the horizontal.

You already handled that by finding the vertical and horizontal components,

If you need any further help, please post your working.