When given constant velocity and distance for a vertical motion, how do i find the height of the horizontal motion with gravity being applied?

Question

Acceleration of vertical: 9.8m/s^2

Horizontal distance: 26m

Horizontal constant velocity: 23m/s

Find height of horizontal

Answer 1

This question is not as crystal clear as it should be. I'll assume an object has horizontal velocity 23m/s and initial vertical velocity is zero and you want to find how high the object is at the start.

 

Horizontal motion ends when the object hits the ground. If the object travels 26m, it was in flight for 26/23 seconds

 

Vertical height = (1/2)(9.8)(26/23)² = 6.26 m