- #1

Nathan phisi

- 5

- 0

## Homework Statement

Two cars are traveling in a straight line, in the same direction, along a multi-lane highway in adjacent lanes. Car A starts 100 m behind Car B and both cars are initially traveling with a velocity of 20 m s−1 . Car B maintains a constant velocity but Car A begins to accelerate at 2.5 m s−2 . How long will it take for Car A to draw level with Car B (in s)?

(A) 2.7 (B) 4.3 (C) 6.1 (D) 8.9 (E) 10

## Homework Equations

vavg=d/t

a=change in v/t

vf=vi+at

Vf^2=vi^2 + 2*a*d

d=vi t + 0.5at^2

d=(vf+vi)/2 * t

## The Attempt at a Solution

I broke up the question into time intervals. I started with seeing how long it took car B to reach the initial 100m, then used that time to see how far car A gone in that time interval. I continued to break up the question like this and it became very tedious as I got closer to the 8.9s correct answer, and was wondering if there was a simpler way to approach this question? Thanks