Sliding up a ramp

1. The problem statement, all variables and given/known data

A frictionless track is to be built as shown, with L= 5.1 m and H= 2.8 m. In order to get the cart to slide from the top to the end of the track in the minimum time, how long should the distance D be? Assume that the speed of the cart on the horizontal surface is the same as at the bottom of the ramp.

2ufbtpc.gif


2. Relevant equations



3. The attempt at a solution

This is the problem given to me as homework, I discussed it with a lot of my classmates but no one is seem to be able to solve it. If I can't get an answer as a last resort I'll go see my teacher. :/
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
 
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1
Well what is your attempt at a solution? What have you tried so far? At the very least, what have you discussed with your classmates?
 

tiny-tim

Science Advisor
Homework Helper
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welcome to pf!

hi yourrock! welcome to pf! :wink:

use the standard constant acceleration equations to find the time and the speed (all as functions of D) …

what do you get? :smile:
 

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