Projectile question

1. The problem statement, all variables and given/known data



Hi all, in my grade 11 book there is a question, and the question is :- there is a ball rolling on a chair by a speed of 5.0 m/s on the X axis, the ball hit the ground on a distance of 0.25 m on the X axis, What is the Δy and what is the speed on Y axis



ϑx (speed on X axis) = 5.0 m/s



Δx = 0.25 m



Δy = ??



ϑy = ??



i think also i need the time, i tried to extract the time using the three equations that i will write them down.



t=??





2. Relevant equations



αy = -g = -9.81 m/s²



ϑfy = ay x t



ϑfy^2 = 2ay x Δy



Δy = 1/2ay x t^2



3. The attempt at a solution



Since all equations require time except ϑfy^2, I tried to find time first because i think it's the core of this question even if the question didn't need it, this is my attempt :-







i don't know if the time (0.5 seconds) is correct or not, i need help please and i don't want the solution of the question i just need to know if the way i get the time is correct or not, and if it's not please help me getting the right way to solve this question, and thanks so much :approve:

1. The problem statement, all variables and given/known data







2. Relevant equations







3. The attempt at a solution

1. The problem statement, all variables and given/known data







2. Relevant equations







3. The attempt at a solution