- #1

Northbysouth

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## Homework Statement

The two cars A and B enter an unbanked and level turn. They cross line C-C simultaneously, and each car has the speed corresponding to a maximum normal acceleration of 0.94g in the turn. Determine the elapsed time for each car between its two crossings of line C-C. What is the relative position of the two cars as the second car exits the turn? Assume no speed changes throughout.

I have attached an image of the question.

## Homework Equations

a

_{n}= v

^{2}/ρ = rθ'

^{2}= vθ'

v = rθ'

## The Attempt at a Solution

I' honestly not sure how to start this one. I know a

_{n}= 0.94g = 9.2214 m/s

^{2}

I was thinking of something along the lines:

v = rθ' = r dθ/dt

∫v dt = ∫r dθ

vt = rθ

t = rθ/v

I'm not sure if what I have here makes sense. But if it does, could I substitute v for ds/dt, where ds/dt would be the circumference of the half circle?

Honestly,I'm not sure if what I have makes sense. Any input/feedback would be greatly appreciated.

#### Attachments

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