# Water Slide Problem

"If the height of the water slide is h = 3.2m and the person's initial speed at point A (at the top of slide) is 0.54m/s, at what location does the swimmer splash down in the pool?"

I need help with this guys. It may be relatively easy, but I'm not seeing it. I don't know what formula to apply here. I have an initial velocity and a height of the slide. Thanks in advance.

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Is that all the info given in the question? You can use conservation of energy to find the final velocity of the person, but from there I'm not sure what it is asking for.

It's asking for the distance from the end of the slide to the point where the swimmer splashes in the water.

How do I add an image?

Pyrrhus
Homework Helper
In additional options, manage attachments. Well you know the Normal force will be 0 when the person is in the air about to splash.

This is a picture of the problem I'm having difficulty with. Thanks!

#### Attachments

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Pyrrhus
Homework Helper
Ok now with the picture is clearer, just find the speed at 1.5 m throught conservation of energy and then work it out with kinematics (uniform acceleration neglecting air drag)

lightgrav
Homework Helper
The "projectile" is launched from 1.5m above the pool,
with a horizontal velocity.

daniel_i_l
Gold Member
After getting the horizontal speed, you have to find the time that it takes to fall 1.5m (h=(g*t^2)/2) then you find the horizontal distance that the kid went by x=vt.

Cyclovenom said:
Ok now with the picture is clearer, just find the speed at 1.5 m throught conservation of energy and then work it out with kinematics (uniform acceleration neglecting air drag)
Would I use the formula v=square root of 2gh to figure out v2?