# Decelerating 1D Movement

• Casey Wilson

## Homework Statement

- A Dragster at the starting line accelerates at 8 m/s^2 to the finish line. If it took 4.6 s, how long is the track?
- The Dragster deccelerated to a stop in 100m. How long did it take?

x = 0 + 1/2at^2

## The Attempt at a Solution

The first part of the questions I got x = 84.64m using the above equation.
For the life of me, I cannot figure out how to get anything viable for other formulas, when v or a is not specified for decceleration (read: Part 2).

Hello casey, welcome to PF :)

Same formula, but now the initial speed isn't zero. And x isn't the unknown, because it's a given. The unknown is a. And t of course. So you'll need another equation. Something relating v initial, v final, t and a.

From there (with v final = 0) you'll find t. (two equations with two unknowns)

You'll do fine.

Hello casey, welcome to PF :)

Same formula, but now the initial speed isn't zero. And x isn't the unknown, because it's a given. The unknown is a. From there (with v final = 0) you'll find t. (two equations with two unknowns)

You'll do fine.

I think I see where you are coming from.
Thank you for the quick reply and the welcome.

I missed the second part of your answer. I think I got it figure out. Thank you!

Ah, some PF culture here: you do the work, helpers help. So jot something down and solicit comments/assistance !
You'll need this other equation anyway (it's no big deal, you must have seen it come by already at some point in the lectures/testbook) to determine the speed when the braking starts.

Hint: check out the formulas here (where it says three key variables)

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