# Water Slide#

What an exciting time to be alive! A water slide has just opened up near Santiago’s house! It is a ramp, L = 300 $$m$$ long at 40$$^{\circ}$$ to the horizontal. At the same instant Santiago begins sliding down from the top with zero initial velocity $$(x=0)$$, some jerk kid decides to TRY TO SLIDE UP the slide from the bottom $$(x=L)$$. The kid has an unknown initial velocity $$v_o$$ , but they collide midway down the ramp (150.0 $$m$$ from the bottom).

Use the following table as a reference for each variable:

For

Use

$$t$$

t

$$v_o$$

v_o

$$g$$

g

## Part 1#

What is the equation describing Santiago’s position as a function of time?

Write the position $$x(t)$$ in terms of time $$t$$.

## Part 2#

What is the equation describing the position of the kid as a function of time?

Write the position of the kid $$x(t)$$ in terms of time $$t$$.

## Part 3#

At what time will they collide?

Please enter in a numeric value in seconds.

## Part 4#

What was the jerk kid’s initial velocity?

Please enter a numeric value in $$\frac{m}{s}$$ 