what is the relationship between the length of an inclined plane and acceleration? All ik is that as displacement increases, acceleration decreases but I'm not sure why
TIA
As you increase the length of a ramp, you decrease the angle that the ramp has to make with the ground.
A greater angle will result in greater acceleration. Thus, a shorter ramp/shorter displacement will result in increased acceleration. Whereas, a longer ramp will result in decreased acceleration.
I have drawn a little picture to help us think about this (prepare yourself for what is sure to be the best drawing you've ever seen in your entire life - no cap):
As you can see on the image above, we have two people who are about to roll down a hill. In condition 1, the ramp is longer - meaning the angle is smaller. In condition 2, the ramp is shorter - meaning the angle is larger.
Who do you think will roll down the hill faster? The person in condition two, right? Yes. Honestly, that hill looks like it would hurt to roll down lol.
Hope this makes sense