Velocity and range for person launched from 30° water slide ramp

[chunky]

a person slides down a water slide that is 61 m long and has a slope angle of 24 degrees and the end is a ramp with a height of 3.66 m with an angle of 30 degrees to the horizontal determine the magnitude and direction of the velocity of the person when they just fly away from the ramp and the horizontal distance that they fly.

View attachment 2500

 

[Ackbach]

There are a number of equations that I like to say "have physics in them", as opposed to being merely descriptive. Your equations with physics, in a typical order of presentation, are the following:

1. Newton's Second Law
2. Conservation of Energy
3. Work-Energy Theorem
4. Conservation of Linear Momentum
5. Conservation of Angular Momentum

Which of these approaches do you think would be appropriate for this problem?

 

[chunky]

I believe the most appropriate approach would be the conservation of energy ie,

T1+V1+U1-2=T2+V2

Then just find all of the relevant pieces of information from the question and subbing them into the equation and solving for the magnitude and direction of the velocity and well as the max flying distance

 

[Ackbach]

I would agree that CoE would be the right approach for the first part of this problem (finding the velocity). Once you do that, however, how would you continue?