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 = 500 \(m\) 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 (250.0 \(m\) 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?

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.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.