Water Slide

What an exciting time to be alive! A water slide has just opened up near Emilia’s house! It is a ramp, L = 100 \(m\) long at 50\(^{\circ}\) to the horizontal. At the same instant Emilia 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 (50.0 \(m\) 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 Emilia’s position as a function of time?

Answer Section

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?

Answer Section

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

Part 3

At what time will they collide?

Answer Section

Please enter in a numeric value in seconds.

Part 4

What was the jerk kid’s initial velocity?

Answer Section

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

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.