How Do I Calculate Time in a Particle Motion Problem?

[miltonthedog]

Hi, I am trying to complete an engineering assignment involving many parts about the motion of an elevator, I'm quite confident about the rest but am stumbling over the first part, can anyone help? I want to know what method to use to solve the problem (no actual answers please? just suggested methods)

- A particle constantly accelerates from rest from T=0 to time T, then constantly decelerates to time=2T, I have the value of distance at 2T as 350mm, how do I find a value for T? -

many thanks for any answers

 

[lippyka]

One method for solving this problem is to use the equations of motion for uniformly accelerated motion. The equations are x=x₀+v₀t+(1/2)at² and v²=v₀²+2ax. For this problem, you can assume that x₀=0, v₀=0, and a=(vf-vi)/t where vf is the final velocity and vi is the initial velocity. Plugging these into the equations of motion, you can solve for t.