- #1

jessedevin

- 66

- 0

## Homework Statement

As soon as traffic light turns green, a car speeds up from rest to 50.0 mi/h with constant acceleration of 9.00mi/hr*s. In the adjoining bike lane, a cyclist speeds up from rest to 20.0 mi/h with constant acceleration of 13.0 mi/hr*s. Each vehicle maintains constant velocity after reaching its cruising speed.

(a) For what time interval is the bicycle ahead of the car?

(b) By what maximum distance does the bicycle leads the car?

## Homework Equations

x

_{f}=x

_{i}+ v

_{x}*t

v

_{xf}= v

_{xi}+a

_{x}*t

v

_{x,avg}= (v

_{xi}+v

_{xf})/2

x

_{f}=x

_{i}+1/2(v

_{xi}+v

_{xf})*t

x

_{f}=x

_{i}+v

_{xi}*t+1/2a*t

^{2}

v

_{xf}

^{2}= v

_{xi}

^{2}+2*a(x

_{f}-x

_{i})

## The Attempt at a Solution

Im sorry but i have tried every way I can think but I keep on getting the wrong answer. I am completley stuck!

You don't have to give me the calculations, but just tell me your thought process to get the answers.

The answer in the back of the book (a) 3.45 s and (b) 10.0 ft

Please help.

Thanks!