Finding Speed at Point A for Particle on Curved Runway

[Inertialforce]

Homework Statement

A particle, starting from point A in the drawing, is projected down the curved runway. Upon leaving the runway at point B, the particle is traveling straight upward and reaches a height of 4.00 m above the floor before falling back down. Ignoring friction and air resistance, find the speed of the particle at point A.


http://qaboard.cramster.com/answer-board/image/5b5efcf498963c65f5517ad6687243f2.jpg

Homework Equations

The Attempt at a Solution

My question for this question is that I know I have to use an equation that utilizes both kinetic and potential energy since both kinetic and potential energy values are present (or at least things that you would need to find values). I know that I am trying to find the initial velocity but what is the final velocity? Is it zero because the particle reaches a maximum height and then falls back down?

 

[alphysicist]

Hi Inertialforce

Homework Statement

A particle, starting from point A in the drawing, is projected down the curved runway. Upon leaving the runway at point B, the particle is traveling straight upward and reaches a height of 4.00 m above the floor before falling back down. Ignoring friction and air resistance, find the speed of the particle at point A.


http://qaboard.cramster.com/answer-board/image/5b5efcf498963c65f5517ad6687243f2.jpg

Homework Equations

The Attempt at a Solution

My question for this question is that I know I have to use an equation that utilizes both kinetic and potential energy since both kinetic and potential energy values are present (or at least things that you would need to find values). I know that I am trying to find the initial velocity but what is the final velocity? Is it zero because the particle reaches a maximum height and then falls back down?

That's right; the velocity at the point 4m above the floor is zero; if it wasn't zero, that point would not be the maximum height because it would still be moving upwards.