Find Time for Motion Homework: Equations, Solutions, & Examples

[Troubadour]

Homework Statement

The speed of a train increases at a constant rate α from zero to v, and remains constant for an interval, and finally decreases to zero at a constant rate β. If L be the total distance traveled, then the total time taken is-
(a) (L/v) + (v/2) [(1/α) + (1/β)
(b) (L/v) + (2/v) [(1/α) + (1/β)
(c) (L/v) + (2v) [(1/α) + (1/β)
(d) (L/v) + (1/v) [(1/α) + (1/β)

Homework Equations

v = u + at
s = ut + (1/2)at²
2as= v² - u²

The Attempt at a Solution

I don't really know how to type in LaTEX so I can't show you the exact working. In short, I found the time during acceleration, time during constant speed and time during retardation. But I don't know how to write them in terms of one variable so that I can add them together.

Thanks :)

 

[gneill]

I don't really know how to type in LaTEX so I can't show you the exact working. In short, I found the time during acceleration, time during constant speed and time during retardation. But I don't know how to write them in terms of one variable so that I can add them together.

We won't know how to help you if you don't show your work. If LaTeX is not your thing you can use regular ascii and the symbols from the table accessed via the Σ icon, and use the x₂ and x² icons to create subscripts or superscripts.